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Finding the Fourth Proportional to 31,836.35, 47,754.46 and 8,462.78

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Solution

The fourth proportional to 31,836.35, 47,754.46 and 8,462.78 is: 12,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836.35 : 47,754.46 = 8,462.78 : x
  2. Step 2: Convert to fraction form
    31,836.35/47,754.46 = 8,462.78/x
  3. Step 3: Cross multiply
    31,836.35x = 47,754.46 × 8,462.78
  4. Step 4: Simplify right side
    31,836.35x = 404,135,446.68
  5. Step 5: Solve for x
    x = 404,135,446.68/31,836.35
  6. Step 6: Final answer
    x = 12,694.15

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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.