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Finding the Fourth Proportional to 2,515, 3,772.20 and 871.32

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Solution

The fourth proportional to 2,515, 3,772.20 and 871.32 is: 1,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515 : 3,772.20 = 871.32 : x
  2. Step 2: Convert to fraction form
    2,515/3,772.20 = 871.32/x
  3. Step 3: Cross multiply
    2,515x = 3,772.20 × 871.32
  4. Step 4: Simplify right side
    2,515x = 3,286,793.30
  5. Step 5: Solve for x
    x = 3,286,793.30/2,515
  6. Step 6: Final answer
    x = 1,306.88

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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.