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Finding the Fourth Proportional to 8,831.71, 12,188.09 and 5,294.23

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Solution

The fourth proportional to 8,831.71, 12,188.09 and 5,294.23 is: 7,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.71 : 12,188.09 = 5,294.23 : x
  2. Step 2: Convert to fraction form
    8,831.71/12,188.09 = 5,294.23/x
  3. Step 3: Cross multiply
    8,831.71x = 12,188.09 × 5,294.23
  4. Step 4: Simplify right side
    8,831.71x = 64,526,551.72
  5. Step 5: Solve for x
    x = 64,526,551.72/8,831.71
  6. Step 6: Final answer
    x = 7,306.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.