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Finding the Fourth Proportional to 38,472.75, 57,713.72 and 11,815.22

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Solution

The fourth proportional to 38,472.75, 57,713.72 and 11,815.22 is: 17,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.75 : 57,713.72 = 11,815.22 : x
  2. Step 2: Convert to fraction form
    38,472.75/57,713.72 = 11,815.22/x
  3. Step 3: Cross multiply
    38,472.75x = 57,713.72 × 11,815.22
  4. Step 4: Simplify right side
    38,472.75x = 681,900,384.03
  5. Step 5: Solve for x
    x = 681,900,384.03/38,472.75
  6. Step 6: Final answer
    x = 17,724.24

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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.