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Finding the Fourth Proportional to 31,709.61, 47,560.63 and 8,337.87

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Solution

The fourth proportional to 31,709.61, 47,560.63 and 8,337.87 is: 12,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.61 : 47,560.63 = 8,337.87 : x
  2. Step 2: Convert to fraction form
    31,709.61/47,560.63 = 8,337.87/x
  3. Step 3: Cross multiply
    31,709.61x = 47,560.63 × 8,337.87
  4. Step 4: Simplify right side
    31,709.61x = 396,554,070.57
  5. Step 5: Solve for x
    x = 396,554,070.57/31,709.61
  6. Step 6: Final answer
    x = 12,505.80

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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.