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Finding the Fourth Proportional to 31,623.68, 47,438.32 and 8,250.08

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Solution

The fourth proportional to 31,623.68, 47,438.32 and 8,250.08 is: 12,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623.68 : 47,438.32 = 8,250.08 : x
  2. Step 2: Convert to fraction form
    31,623.68/47,438.32 = 8,250.08/x
  3. Step 3: Cross multiply
    31,623.68x = 47,438.32 × 8,250.08
  4. Step 4: Simplify right side
    31,623.68x = 391,369,935.07
  5. Step 5: Solve for x
    x = 391,369,935.07/31,623.68
  6. Step 6: Final answer
    x = 12,375.85

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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.