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Finding the Fourth Proportional to 31,375.42, 47,063.12 and 8,001.86

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Solution

The fourth proportional to 31,375.42, 47,063.12 and 8,001.86 is: 12,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.42 : 47,063.12 = 8,001.86 : x
  2. Step 2: Convert to fraction form
    31,375.42/47,063.12 = 8,001.86/x
  3. Step 3: Cross multiply
    31,375.42x = 47,063.12 × 8,001.86
  4. Step 4: Simplify right side
    31,375.42x = 376,592,497.40
  5. Step 5: Solve for x
    x = 376,592,497.40/31,375.42
  6. Step 6: Final answer
    x = 12,002.79

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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.