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Finding the Fourth Proportional to 2,474.82, 3,711.39 and 831.78

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Solution

The fourth proportional to 2,474.82, 3,711.39 and 831.78 is: 1,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.82 : 3,711.39 = 831.78 : x
  2. Step 2: Convert to fraction form
    2,474.82/3,711.39 = 831.78/x
  3. Step 3: Cross multiply
    2,474.82x = 3,711.39 × 831.78
  4. Step 4: Simplify right side
    2,474.82x = 3,087,059.97
  5. Step 5: Solve for x
    x = 3,087,059.97/2,474.82
  6. Step 6: Final answer
    x = 1,247.39

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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.