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Finding the Fourth Proportional to 2,515.97, 3,773.63 and 667.20

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Solution

The fourth proportional to 2,515.97, 3,773.63 and 667.20 is: 1,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.97 : 3,773.63 = 667.20 : x
  2. Step 2: Convert to fraction form
    2,515.97/3,773.63 = 667.20/x
  3. Step 3: Cross multiply
    2,515.97x = 3,773.63 × 667.20
  4. Step 4: Simplify right side
    2,515.97x = 2,517,765.94
  5. Step 5: Solve for x
    x = 2,517,765.94/2,515.97
  6. Step 6: Final answer
    x = 1,000.71

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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.