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Finding the Fourth Proportional to 38,253.28, 57,379.92 and 13,612

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Solution

The fourth proportional to 38,253.28, 57,379.92 and 13,612 is: 20,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.28 : 57,379.92 = 13,612 : x
  2. Step 2: Convert to fraction form
    38,253.28/57,379.92 = 13,612/x
  3. Step 3: Cross multiply
    38,253.28x = 57,379.92 × 13,612
  4. Step 4: Simplify right side
    38,253.28x = 781,055,471.04
  5. Step 5: Solve for x
    x = 781,055,471.04/38,253.28
  6. Step 6: Final answer
    x = 20,418

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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.