1. What is an Equivalent Ratio?

An equivalent ratio is a proportion where two ratios express the same relationship between numbers. The formula a/b = c/d shows that the relationship between a and b is the same as between c and d.

2. How Does the Calculator Work?

The calculator uses the equivalent ratio formula:

Where:

• \( a \) — First term of first ratio
• \( b \) — Second term of first ratio
• \( c \) — First term of second ratio
• \( d \) — Second term of second ratio (calculated)

Explanation: The calculator solves for d in the proportion a/b = c/d by cross-multiplying to get d = (b × c)/a.

3. Importance of Ratio Calculations

Details: Equivalent ratios are fundamental in mathematics, used in scaling recipes, creating scale models, solving proportion problems, and in various financial calculations.

4. Using the Calculator

Tips: Enter any three known values (a, b, c) and the calculator will solve for the fourth value (d). All values must be numbers and a cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if b is zero?
A: The calculator will not work if b is zero as division by zero is undefined.

Q2: Can this be used for unit conversions?
A: Yes, equivalent ratios are often used for unit conversions when the conversion factor is known.

Q3: How precise are the results?
A: Results are rounded to 2 decimal places for readability, but maintain the exact ratio relationship.

Q4: Can I solve for any of the four values?
A: This version solves for d given a, b, and c. Other versions could solve for any missing value.

Q5: Where are equivalent ratios used in real life?
A: Common applications include cooking (scaling recipes), construction (blueprints), photography (aspect ratios), and finance (exchange rates).