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Finding the Fourth Proportional to 20,472.48, 30,713.04 and 10,082.88

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Solution

The fourth proportional to 20,472.48, 30,713.04 and 10,082.88 is: 15,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.48 : 30,713.04 = 10,082.88 : x
  2. Step 2: Convert to fraction form
    20,472.48/30,713.04 = 10,082.88/x
  3. Step 3: Cross multiply
    20,472.48x = 30,713.04 × 10,082.88
  4. Step 4: Simplify right side
    20,472.48x = 309,675,896.76
  5. Step 5: Solve for x
    x = 309,675,896.76/20,472.48
  6. Step 6: Final answer
    x = 15,126.45

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1.5x scale

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.