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Finding the Fourth Proportional to 3,972.92, 5,959.37 and 1,375.85

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Solution

The fourth proportional to 3,972.92, 5,959.37 and 1,375.85 is: 2,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.92 : 5,959.37 = 1,375.85 : x
  2. Step 2: Convert to fraction form
    3,972.92/5,959.37 = 1,375.85/x
  3. Step 3: Cross multiply
    3,972.92x = 5,959.37 × 1,375.85
  4. Step 4: Simplify right side
    3,972.92x = 8,199,217.55
  5. Step 5: Solve for x
    x = 8,199,217.55/3,972.92
  6. Step 6: Final answer
    x = 2,063.78

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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.