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Finding the Fourth Proportional to 3,272.38, 4,909.40 and 963.88

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Solution

The fourth proportional to 3,272.38, 4,909.40 and 963.88 is: 1,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.38 : 4,909.40 = 963.88 : x
  2. Step 2: Convert to fraction form
    3,272.38/4,909.40 = 963.88/x
  3. Step 3: Cross multiply
    3,272.38x = 4,909.40 × 963.88
  4. Step 4: Simplify right side
    3,272.38x = 4,732,072.47
  5. Step 5: Solve for x
    x = 4,732,072.47/3,272.38
  6. Step 6: Final answer
    x = 1,446.06

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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.