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Finding the Fourth Proportional to 2,292.54, 3,436.68 and 831.30

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Solution

The fourth proportional to 2,292.54, 3,436.68 and 831.30 is: 1,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.54 : 3,436.68 = 831.30 : x
  2. Step 2: Convert to fraction form
    2,292.54/3,436.68 = 831.30/x
  3. Step 3: Cross multiply
    2,292.54x = 3,436.68 × 831.30
  4. Step 4: Simplify right side
    2,292.54x = 2,856,912.08
  5. Step 5: Solve for x
    x = 2,856,912.08/2,292.54
  6. Step 6: Final answer
    x = 1,246.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.