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Finding the Fourth Proportional to 31,715.60, 47,569.62 and 8,343.86

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Solution

The fourth proportional to 31,715.60, 47,569.62 and 8,343.86 is: 12,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.60 : 47,569.62 = 8,343.86 : x
  2. Step 2: Convert to fraction form
    31,715.60/47,569.62 = 8,343.86/x
  3. Step 3: Cross multiply
    31,715.60x = 47,569.62 × 8,343.86
  4. Step 4: Simplify right side
    31,715.60x = 396,914,249.53
  5. Step 5: Solve for x
    x = 396,914,249.53/31,715.60
  6. Step 6: Final answer
    x = 12,514.80

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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.