🧮 Cross multiplication: 2 × d = 5 × 6 → d = 30 / 2 = 15
Welcome to the MultiCalculators.org Ratio Proportion Solver – a precise and intuitive tool for solving proportions of the form a : b = c : d. Whether you're a student tackling math homework, a chef scaling recipes, a map reader calculating real distances, or a professional working with mixtures and dilutions, this solver instantly finds the missing term. Simply enter any three known values, select which term is unknown (A, B, C, or D), and click SOLVE. The calculator uses cross multiplication to deliver the accurate result, with a clear step-by-step explanation.
Proportions appear everywhere: adjusting ingredient quantities (if 2 cups flour for 5 cookies, how much for 20 cookies?), interpreting map scales (1 inch : 10 miles = 3 inches : x miles), converting units, or calculating percentages. Our solver handles positive and negative numbers, decimals, and even small or large values. The interface is designed for clarity: the four fields are arranged just like a textbook proportion, with the unknown marked by a placeholder. After solving, the complete proportion is displayed along with the cross multiplication steps, reinforcing the logic behind the math.
This tool is 100% free, runs locally in your browser (no data is sent to any server), and is fully responsive – equally usable on a smartphone during a cooking class or on a desktop at the office. We've optimized it for speed and accuracy, with input validation to prevent errors. Use it alongside our other math tools (Ratio Production Solver, Batch Calculator) via the top navigation. Whether you're learning ratios or need quick answers in production, this solver is your reliable companion. Thank you for trusting MultiCalculators – where accurate, effortless calculations meet clean design.