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Finding the Fourth Proportional to 38,414, 57,630.72 and 10,712

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Solution

The fourth proportional to 38,414, 57,630.72 and 10,712 is: 16,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414 : 57,630.72 = 10,712 : x
  2. Step 2: Convert to fraction form
    38,414/57,630.72 = 10,712/x
  3. Step 3: Cross multiply
    38,414x = 57,630.72 × 10,712
  4. Step 4: Simplify right side
    38,414x = 617,340,272.64
  5. Step 5: Solve for x
    x = 617,340,272.64/38,414
  6. Step 6: Final answer
    x = 16,070.71

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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.