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Finding the Fourth Proportional to 2,474.39, 3,711.18 and 915.13

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Solution

The fourth proportional to 2,474.39, 3,711.18 and 915.13 is: 1,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.39 : 3,711.18 = 915.13 : x
  2. Step 2: Convert to fraction form
    2,474.39/3,711.18 = 915.13/x
  3. Step 3: Cross multiply
    2,474.39x = 3,711.18 × 915.13
  4. Step 4: Simplify right side
    2,474.39x = 3,396,230.66
  5. Step 5: Solve for x
    x = 3,396,230.66/2,474.39
  6. Step 6: Final answer
    x = 1,372.55

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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.