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Finding the Fourth Proportional to 2,474.77, 3,712.29 and 831.17

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Solution

The fourth proportional to 2,474.77, 3,712.29 and 831.17 is: 1,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.77 : 3,712.29 = 831.17 : x
  2. Step 2: Convert to fraction form
    2,474.77/3,712.29 = 831.17/x
  3. Step 3: Cross multiply
    2,474.77x = 3,712.29 × 831.17
  4. Step 4: Simplify right side
    2,474.77x = 3,085,544.08
  5. Step 5: Solve for x
    x = 3,085,544.08/2,474.77
  6. Step 6: Final answer
    x = 1,246.80

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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.