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Finding the Fourth Proportional to 3,732.67, 5,142.13 and 3,199.87

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Solution

The fourth proportional to 3,732.67, 5,142.13 and 3,199.87 is: 4,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.67 : 5,142.13 = 3,199.87 : x
  2. Step 2: Convert to fraction form
    3,732.67/5,142.13 = 3,199.87/x
  3. Step 3: Cross multiply
    3,732.67x = 5,142.13 × 3,199.87
  4. Step 4: Simplify right side
    3,732.67x = 16,454,147.52
  5. Step 5: Solve for x
    x = 16,454,147.52/3,732.67
  6. Step 6: Final answer
    x = 4,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.