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Finding the Fourth Proportional to 38,129, 57,197.50 and 10,427

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Solution

The fourth proportional to 38,129, 57,197.50 and 10,427 is: 15,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129 : 57,197.50 = 10,427 : x
  2. Step 2: Convert to fraction form
    38,129/57,197.50 = 10,427/x
  3. Step 3: Cross multiply
    38,129x = 57,197.50 × 10,427
  4. Step 4: Simplify right side
    38,129x = 596,398,332.50
  5. Step 5: Solve for x
    x = 596,398,332.50/38,129
  6. Step 6: Final answer
    x = 15,641.59

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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.