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Finding the Fourth Proportional to 2,474.87, 3,712.64 and 831.54

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Solution

The fourth proportional to 2,474.87, 3,712.64 and 831.54 is: 1,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.87 : 3,712.64 = 831.54 : x
  2. Step 2: Convert to fraction form
    2,474.87/3,712.64 = 831.54/x
  3. Step 3: Cross multiply
    2,474.87x = 3,712.64 × 831.54
  4. Step 4: Simplify right side
    2,474.87x = 3,087,200.66
  5. Step 5: Solve for x
    x = 3,087,200.66/2,474.87
  6. Step 6: Final answer
    x = 1,247.42

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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.