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Finding the Fourth Proportional to 5,635.20, 8,431.20 and 3,691.20

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Solution

The fourth proportional to 5,635.20, 8,431.20 and 3,691.20 is: 5,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.20 : 8,431.20 = 3,691.20 : x
  2. Step 2: Convert to fraction form
    5,635.20/8,431.20 = 3,691.20/x
  3. Step 3: Cross multiply
    5,635.20x = 8,431.20 × 3,691.20
  4. Step 4: Simplify right side
    5,635.20x = 31,121,245.44
  5. Step 5: Solve for x
    x = 31,121,245.44/5,635.20
  6. Step 6: Final answer
    x = 5,522.65

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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.