Solve proportions with missing values, step-by-step cross multiplication, direct and inverse proportion, check proportionality, generate equivalent ratios, and scale calculations. Supports fractions and decimals.
Accepted formats: integers (2), decimals (2.5), or fractions (3/4). Leave exactly one field blank to solve for it.
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Enter fractions (e.g., 3/4) or decimals (e.g., 2.5) in any field. The calculator shows decimal answers and, where appropriate, converts back to fractions.
A proportion states that two ratios are equal. For example, 2 : 5 = 8 : 20 is a proportion because both ratios simplify to the same relationship.
Leave one of the four values blank and enter the other three. The calculator uses cross multiplication to find the missing value and shows every step.
For a proportion A : B = C : D, cross multiplication means A × D = B × C. If one value is unknown, you rearrange this equation to solve for it.
In direct proportion, as one quantity increases, the other increases at the same rate (A/B = C/D). In inverse proportion, as one quantity increases, the other decreases so that their product stays constant (A × B = C × D).
Yes. Enter fractions in the format 3/4 or 1/2. The calculator converts them to decimals for computation and can convert answers back to fractions when appropriate.
Equivalent ratios have the same simplified form. For example, 3 : 5, 6 : 10, and 9 : 15 are all equivalent because they all simplify to 3 : 5.
Enter a scale such as 1 : 5 (meaning 1 unit on a map or drawing equals 5 units in reality) and enter a measured value. The calculator finds the real-world equivalent.
Yes. You can enter decimals such as 2.5 or 0.75 directly into any field.