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Finding the Fourth Proportional to 3,327.52, 4,982.52 and 2,909.20

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Solution

The fourth proportional to 3,327.52, 4,982.52 and 2,909.20 is: 4,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.52 : 4,982.52 = 2,909.20 : x
  2. Step 2: Convert to fraction form
    3,327.52/4,982.52 = 2,909.20/x
  3. Step 3: Cross multiply
    3,327.52x = 4,982.52 × 2,909.20
  4. Step 4: Simplify right side
    3,327.52x = 14,495,147.18
  5. Step 5: Solve for x
    x = 14,495,147.18/3,327.52
  6. Step 6: Final answer
    x = 4,356.14

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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.