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Finding the Fourth Proportional to 31,375.67, 47,063.50 and 8,002.10

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Solution

The fourth proportional to 31,375.67, 47,063.50 and 8,002.10 is: 12,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.67 : 47,063.50 = 8,002.10 : x
  2. Step 2: Convert to fraction form
    31,375.67/47,063.50 = 8,002.10/x
  3. Step 3: Cross multiply
    31,375.67x = 47,063.50 × 8,002.10
  4. Step 4: Simplify right side
    31,375.67x = 376,606,833.35
  5. Step 5: Solve for x
    x = 376,606,833.35/31,375.67
  6. Step 6: Final answer
    x = 12,003.15

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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.