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Finding the Fourth Proportional to 31,908.60, 47,862.88 and 8,534.43

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Solution

The fourth proportional to 31,908.60, 47,862.88 and 8,534.43 is: 12,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.60 : 47,862.88 = 8,534.43 : x
  2. Step 2: Convert to fraction form
    31,908.60/47,862.88 = 8,534.43/x
  3. Step 3: Cross multiply
    31,908.60x = 47,862.88 × 8,534.43
  4. Step 4: Simplify right side
    31,908.60x = 408,482,116.97
  5. Step 5: Solve for x
    x = 408,482,116.97/31,908.60
  6. Step 6: Final answer
    x = 12,801.63

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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.