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Finding the Fourth Proportional to 9,132.88, 13,700.92 and 3,938.96

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Solution

The fourth proportional to 9,132.88, 13,700.92 and 3,938.96 is: 5,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.88 : 13,700.92 = 3,938.96 : x
  2. Step 2: Convert to fraction form
    9,132.88/13,700.92 = 3,938.96/x
  3. Step 3: Cross multiply
    9,132.88x = 13,700.92 × 3,938.96
  4. Step 4: Simplify right side
    9,132.88x = 53,967,375.84
  5. Step 5: Solve for x
    x = 53,967,375.84/9,132.88
  6. Step 6: Final answer
    x = 5,909.13

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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.