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Finding the Fourth Proportional to 3,972.14, 5,958.84 and 1,375.28

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Solution

The fourth proportional to 3,972.14, 5,958.84 and 1,375.28 is: 2,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.14 : 5,958.84 = 1,375.28 : x
  2. Step 2: Convert to fraction form
    3,972.14/5,958.84 = 1,375.28/x
  3. Step 3: Cross multiply
    3,972.14x = 5,958.84 × 1,375.28
  4. Step 4: Simplify right side
    3,972.14x = 8,195,073.48
  5. Step 5: Solve for x
    x = 8,195,073.48/3,972.14
  6. Step 6: Final answer
    x = 2,063.14

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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.