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Finding the Fourth Proportional to 31,710.61, 47,562.12 and 8,338.87

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Solution

The fourth proportional to 31,710.61, 47,562.12 and 8,338.87 is: 12,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.61 : 47,562.12 = 8,338.87 : x
  2. Step 2: Convert to fraction form
    31,710.61/47,562.12 = 8,338.87/x
  3. Step 3: Cross multiply
    31,710.61x = 47,562.12 × 8,338.87
  4. Step 4: Simplify right side
    31,710.61x = 396,614,335.60
  5. Step 5: Solve for x
    x = 396,614,335.60/31,710.61
  6. Step 6: Final answer
    x = 12,507.31

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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.