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Finding the Fourth Proportional to 31,729, 47,600.28 and 9,540.52

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Solution

The fourth proportional to 31,729, 47,600.28 and 9,540.52 is: 14,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729 : 47,600.28 = 9,540.52 : x
  2. Step 2: Convert to fraction form
    31,729/47,600.28 = 9,540.52/x
  3. Step 3: Cross multiply
    31,729x = 47,600.28 × 9,540.52
  4. Step 4: Simplify right side
    31,729x = 454,131,423.35
  5. Step 5: Solve for x
    x = 454,131,423.35/31,729
  6. Step 6: Final answer
    x = 14,312.82

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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.