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Finding the Fourth Proportional to 3,977.52, 5,489.28 and 2,209.44

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Solution

The fourth proportional to 3,977.52, 5,489.28 and 2,209.44 is: 3,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.52 : 5,489.28 = 2,209.44 : x
  2. Step 2: Convert to fraction form
    3,977.52/5,489.28 = 2,209.44/x
  3. Step 3: Cross multiply
    3,977.52x = 5,489.28 × 2,209.44
  4. Step 4: Simplify right side
    3,977.52x = 12,128,234.80
  5. Step 5: Solve for x
    x = 12,128,234.80/3,977.52
  6. Step 6: Final answer
    x = 3,049.20

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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.