Home / 2,055.13-3,082.76-516.13

Finding the Fourth Proportional to 2,055.13, 3,082.76 and 516.13

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Solution

The fourth proportional to 2,055.13, 3,082.76 and 516.13 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.13 : 3,082.76 = 516.13 : x
  2. Step 2: Convert to fraction form
    2,055.13/3,082.76 = 516.13/x
  3. Step 3: Cross multiply
    2,055.13x = 3,082.76 × 516.13
  4. Step 4: Simplify right side
    2,055.13x = 1,591,086.92
  5. Step 5: Solve for x
    x = 1,591,086.92/2,055.13
  6. Step 6: Final answer
    x = 774.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.