Solve for the missing value in a proportion a/b = c/d. Cross-multiplies and shows the calculation. Useful for ratios, similar triangles, recipe scaling, and unit conversion.
We are solving a / b = c / d for D
Write a/b = c/d. Two pairs of values that scale together.
a \u00d7 d = b \u00d7 c. Three known values give you the missing one.
Plug back in. Both sides should give the same ratio.
Type the three known values from the proportion a/b = c/d. Leave the unknown (4th value) empty. The calculator accepts fractions, decimals, and integers.
a/b = c/d means ad = bc. We solve for the unknown using cross-multiplication, with steps shown.
See the missing value plus the verification: enter all four values back into a/b = c/d and check they are equal.
For related calculations, try our percentage calculator.
FAQ
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A proportion calculator is a free math tool that solves for the missing value in a proportion a/b = c/d, using cross-multiplication. Our proportion calculator lets you solve for any of the four variables and shows the calculation. The proportion calculator is used for recipe scaling, map scales, similar triangles, and unit conversion.
How it works
Our proportion calculator lets you solve for the missing value in a proportion with cross-multiplication, in three steps.
Click the A, B, C, or D button at the top to select which variable you want to find. The chosen variable is automatically cleared so you can leave it blank. The known three variables stay in their slots.
Type the three values you already know in their slots. Use any positive or negative numbers. The result can be a fraction, decimal, or large number - the calculator handles all of them with full precision.
Click Solve Proportion. The result shows the missing value, the verified proportion, and a cross-multiplication check (a x d should equal b x c within rounding). Use the share button to copy a link with your inputs pre-filled.