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Finding the Fourth Proportional to 3,938.87, 5,909.13 and 3,294.11

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Solution

The fourth proportional to 3,938.87, 5,909.13 and 3,294.11 is: 4,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.87 : 5,909.13 = 3,294.11 : x
  2. Step 2: Convert to fraction form
    3,938.87/5,909.13 = 3,294.11/x
  3. Step 3: Cross multiply
    3,938.87x = 5,909.13 × 3,294.11
  4. Step 4: Simplify right side
    3,938.87x = 19,465,294.68
  5. Step 5: Solve for x
    x = 19,465,294.68/3,938.87
  6. Step 6: Final answer
    x = 4,941.85

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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.