{"id":67287,"date":"2026-10-21T09:41:25","date_gmt":"2026-10-21T06:41:25","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=67287"},"modified":"2026-10-21T09:41:25","modified_gmt":"2026-10-21T06:41:25","slug":"ratio-calculator-simplify-and-scale-ratios","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/ratio-calculator-simplify-and-scale-ratios\/","title":{"rendered":"Ratio Calculator \u2013 Simplify and Scale Ratios"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Solve a Proportion or Simplify and Scale a Ratio<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"67287\" data-favorite-title=\"Ratio\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/ratio-calculator-simplify-and-scale-ratios\/\" data-favorite-excerpt=\"Solve a proportion A : B = C : D for any missing term, simplify a ratio with 2\u20134 parts to its lowest whole-number form, or scale a ratio to a given factor, part value, or total. Enter your values and the result appears instantly.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/mathematics\/ratio-calculator-simplify-and-scale-ratios\/\" method=\"POST\" class=\"calculator\" id=\"calculator-67287\" data-post=\"67287\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">What do you want to do?<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"what_do_you_want_to_do\"><option value=\"solve\" selected>Solve A : B = C : D (find the missing value)<\/option><option value=\"simplify\">Simplify a ratio<\/option><option value=\"scale\">Scale a ratio<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">Solve the Proportion A : B = C : D<\/span><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">First term (A)<\/label><div class=\"term\">A<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"first_term_a\" id=\"field-3\" aria-describedby=\"calc-info-3\" step=\"any\" value=\"3\"\/><small id=\"calc-info-3\">Leave exactly one of A, B, C, D empty and it will be solved by cross-multiplication. Fill all four to check whether the proportion is true.<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Second term (B)<\/label><div class=\"term\">B<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"second_term_b\" id=\"field-4\" step=\"any\" value=\"4\"\/><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">Third term (C)<\/label><div class=\"term\">C<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"third_term_c\" id=\"field-5\" step=\"any\" value=\"6\"\/><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">Fourth term (D)<\/label><div class=\"term\">D<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"fourth_term_d\" id=\"field-6\" placeholder=\"e.g. 8 \u2014 or leave empty\" step=\"any\"\/><\/div><div class=\"is-single field\" id=\"input-7\"><span class=\"font-semibold\">Simplify a Ratio<\/span><\/div><div class=\"field\" id=\"input-8\"><label for=\"field-8\">Ratio parts (2\u20134 numbers)<\/label><textarea id=\"field-8\" name=\"ratio_parts_24_numbers\">18 : 24 : 30<\/textarea><\/div><div class=\"is-single field\" id=\"input-9\"><span class=\"font-semibold\">Scale a Ratio<\/span><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Ratio parts (2\u20134 numbers)<\/label><textarea id=\"field-10\" name=\"ratio_parts_24_numbers\">3 : 5<\/textarea><\/div><div class=\"field\" id=\"input-11\"><label for=\"field-11\">Scaling method<\/label><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"scaling_method\"><option value=\"factor\">Multiply or divide the ratio by a factor<\/option><option value=\"part\">Make one part equal to a value<\/option><option value=\"total\" selected>Make the total equal to a value<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-12\" hidden><label for=\"field-12\">Operation<\/label><div class=\"grid grid-cols-1\"><select id=\"field-12\" name=\"operation\"><option value=\"multiply\" selected>\u00d7 multiply<\/option><option value=\"divide\">\u00f7 divide<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-13\" hidden><label for=\"field-13\">Factor<\/label><div class=\"term\">k<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"factor\" id=\"field-13\" aria-describedby=\"calc-info-13\" step=\"any\" value=\"2\"\/><small id=\"calc-info-13\">Every part is multiplied (or divided) by this number.<\/small><\/div><div class=\"field has-term\" id=\"input-14\" hidden><label for=\"field-14\">Target value<\/label><div class=\"term\">T<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"target_value\" id=\"field-14\" aria-describedby=\"calc-info-14\" step=\"any\" value=\"40\"\/><small id=\"calc-info-14\">The chosen part (or the total) is scaled to equal this value.<\/small><\/div><div class=\"field\" id=\"input-15\" hidden><label for=\"field-15\">Part that equals the target<\/label><div class=\"grid grid-cols-1\"><select id=\"field-15\" name=\"part_that_equals_the_target\"><option value=\"1\">Part 1<\/option><option value=\"2\" selected>Part 2<\/option><option value=\"3\">Part 3<\/option><option value=\"4\">Part 4<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"67287\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Ratio Results<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Answer<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Each part as a fraction and percentage of the total<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Steps<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"67287\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Ratio Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ A : B = C : D \\iff A \\times D = B \\times C \\]\n\\[ A = \\frac{B \\times C}{D}, \\quad B = \\frac{A \\times D}{C}, \\quad C = \\frac{A \\times D}{B}, \\quad D = \\frac{B \\times C}{A} \\]\n\\[ a_1 : a_2 : \\dots : a_n \\;\\xrightarrow{\\;\\div g\\;}\\; \\frac{a_1}{g} : \\frac{a_2}{g} : \\dots : \\frac{a_n}{g} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(A, B, C, D\\) \u2014 the four terms of the proportion \\(A : B = C : D\\). Two ratios form a true proportion exactly when their cross products are equal.<\/li>\n<li>\\(a_1, a_2, \\dots, a_n\\) \u2014 the parts of a ratio (2 to 4 numbers)<\/li>\n<li>\\(g\\) \u2014 the greatest common divisor of all parts, used to reduce a ratio to its simplest form<\/li>\n<li>\\(k\\) \u2014 the scale factor; multiplying every part by the same \\(k &gt; 0\\) keeps the ratio equivalent<\/li>\n<\/ul>\n<p>The first line is the cross-product rule for solving a proportion. The last line shows simplification: dividing every part by the gcd gives the smallest whole-number ratio with the same proportions, while \\(k \\cdot a_1 : k \\cdot a_2 : \\dots\\) for any \\(k &gt; 0\\) is an equivalent ratio.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Ratio \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a recipe uses flour and sugar in the ratio 3 : 4. You have 3 cups of flour and 6 cups of sugar left \u2014 how much sugar matches the 3 : 4 ratio? You want to solve \\(3 : 4 = 6 : D\\) for the missing term \\(D\\).<\/p>\n<p>Leave \\(D\\) empty, enter \\(A = 3\\), \\(B = 4\\), \\(C = 6\\), and apply the cross-product rule:<\/p>\n<p>\\[ 3 \\times D = 4 \\times 6 \\quad\\Rightarrow\\quad D = \\frac{B \\times C}{A} = \\frac{4 \\times 6}{3} = 8 \\]<\/p>\n<p>Check: \\(A \\times D = 3 \\times 8 = 24\\) and \\(B \\times C = 4 \\times 6 = 24\\) \u2713<\/p>\n<p><strong>Result:<\/strong> \\(D = 8\\), so the complete proportion is \\(3 : 4 = 6 : 8\\). With 6 cups of sugar you would need 8 cups of flour to keep the 3 : 4 ratio.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Open the <em>\u201cWhat do you want to do?\u201d<\/em> dropdown and pick a mode: <em>Solve A : B = C : D (find the missing value)<\/em>, <em>Simplify a ratio<\/em>, or <em>Scale a ratio<\/em>. Only the fields of the active mode are shown.<\/li>\n<li><strong>To solve a proportion:<\/strong> fill in <em>First term (A)<\/em>, <em>Second term (B)<\/em>, <em>Third term (C)<\/em> and <em>Fourth term (D)<\/em>. Leave exactly one field empty \u2014 it will be found by cross-multiplication. If you fill all four, the calculator checks whether the proportion is true.<\/li>\n<li><strong>To simplify:<\/strong> type 2\u20134 numbers into <em>Ratio parts (2\u20134 numbers)<\/em>, separated by colons, spaces, commas or semicolons (e.g. <code>18 : 24 : 30<\/code>). Decimals such as <code>0.5 : 0.75<\/code> are allowed.<\/li>\n<li><strong>To scale:<\/strong> enter the parts, choose a <em>Scaling method<\/em> \u2014 multiply\/divide by a <em>Factor<\/em>, force one part to a <em>Target value<\/em> (select the part in <em>Part that equals the target<\/em>), or make the total equal a target.<\/li>\n<li>Read the <em>Answer<\/em>, the table of each part as a <em>fraction and percentage of the total<\/em>, and the step-by-step <em>Steps<\/em> section.<\/li>\n<\/ol>\n<h2>What a ratio is and how to read the result<\/h2>\n<p>A ratio compares two or more quantities of the same kind. The ratio \\(3 : 4\\) says that for every 3 units of the first quantity there are 4 units of the second. Ratios do not fix the actual amounts \u2014 3 : 4, 6 : 8 and 30 : 40 all describe the same relationship, because each is the original multiplied by some positive factor.<\/p>\n<p>The <strong>proportion<\/strong> \\(A : B = C : D\\) states that two ratios are equivalent. The cross-product rule \\(A \\times D = B \\times C\\) gives a quick test for equivalence and lets you find any missing term: multiply the two values you have that are opposite the unknown, and divide by the remaining one. This is the workhorse behind unit conversions, recipe resizing, map scales, and similar-triangle problems.<\/p>\n<p>A ratio is in <strong>simplest form<\/strong> when all parts are whole numbers with no common divisor larger than 1 \u2014 so \\(18 : 24 : 30\\) reduces to \\(3 : 4 : 5\\). The calculator also shows each part as a fraction and a percentage of the total, which is often the most useful interpretation: in \\(3 : 5\\), the parts hold \\(3\/8\\) (37.5%) and \\(5\/8\\) (62.5%) of the whole.<\/p>\n<p>When you scale a ratio, every part is multiplied by the same factor \\(k\\). \u201cMake the total equal 40\u201d for \\(3 : 5\\) means \\(k = 40 \/ 8 = 5\\), giving \\(15 : 25\\), which still totals 40 and preserves the exact same shares. This is also how you split money, ingredients, or work time among people proportionally.<\/p>\n<h2>Assumptions, limitations and tips<\/h2>\n<ul>\n<li>Only 2 to 4 parts are supported per ratio. Parts must not be negative, and at least one part must be greater than zero.<\/li>\n<li>For solving a proportion, leave <strong>exactly one<\/strong> of A, B, C, D empty; the value across from the unknown in the cross product must not be zero, otherwise no unique solution exists.<\/li>\n<li>Decimal parts are converted to whole numbers by multiplying by a power of ten. Keep decimals to at most 8 decimal places, or the calculator cannot finish the conversion.<\/li>\n<li>Simplified results are rounded only for display (4 significant figures); the underlying values are exact whenever the arithmetic allows.<\/li>\n<li>To reduce a ratio by hand, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/gcf-calculator-greatest-common-factor\/\">GCF calculator<\/a> finds the greatest common divisor you need to divide out. When scaling up to equal totals, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/lcm-calculator-least-common-multiple\/\">LCM calculator<\/a> helps find the smallest common total.<\/li>\n<li>Proportions describe <em>direct variation<\/em> \u2014 both quantities grow together at a constant rate. For the full equation behind it, see the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/direct-variation\/\">direct variation<\/a> calculator.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Solve a proportion A : B = C : D for any missing term, simplify a ratio with 2\u20134 parts to its lowest whole-number form, or scale a ratio to a given factor, part value, or total. Enter your values and the result appears instantly.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[11],"class_list":["post-67287","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-algebra"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67287","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=67287"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67287\/revisions"}],"predecessor-version":[{"id":67288,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/67287\/revisions\/67288"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=67287"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=67287"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=67287"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}