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Finding the Fourth Proportional to 2,474.73, 3,713.97 and 915.69

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Solution

The fourth proportional to 2,474.73, 3,713.97 and 915.69 is: 1,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.73 : 3,713.97 = 915.69 : x
  2. Step 2: Convert to fraction form
    2,474.73/3,713.97 = 915.69/x
  3. Step 3: Cross multiply
    2,474.73x = 3,713.97 × 915.69
  4. Step 4: Simplify right side
    2,474.73x = 3,400,845.19
  5. Step 5: Solve for x
    x = 3,400,845.19/2,474.73
  6. Step 6: Final answer
    x = 1,374.23

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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.