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Finding the Fourth Proportional to 38,427, 57,644.28 and 10,725

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Solution

The fourth proportional to 38,427, 57,644.28 and 10,725 is: 16,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427 : 57,644.28 = 10,725 : x
  2. Step 2: Convert to fraction form
    38,427/57,644.28 = 10,725/x
  3. Step 3: Cross multiply
    38,427x = 57,644.28 × 10,725
  4. Step 4: Simplify right side
    38,427x = 618,234,903
  5. Step 5: Solve for x
    x = 618,234,903/38,427
  6. Step 6: Final answer
    x = 16,088.56

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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.