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Finding the Fourth Proportional to 3,691.32, 5,532.42 and 3,167.64

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Solution

The fourth proportional to 3,691.32, 5,532.42 and 3,167.64 is: 4,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.32 : 5,532.42 = 3,167.64 : x
  2. Step 2: Convert to fraction form
    3,691.32/5,532.42 = 3,167.64/x
  3. Step 3: Cross multiply
    3,691.32x = 5,532.42 × 3,167.64
  4. Step 4: Simplify right side
    3,691.32x = 17,524,714.89
  5. Step 5: Solve for x
    x = 17,524,714.89/3,691.32
  6. Step 6: Final answer
    x = 4,747.55

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1.5x scale

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.