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Finding the Fourth Proportional to 23,531.90, 32,472.90 and 12,921.71

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Solution

The fourth proportional to 23,531.90, 32,472.90 and 12,921.71 is: 17,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.90 : 32,472.90 = 12,921.71 : x
  2. Step 2: Convert to fraction form
    23,531.90/32,472.90 = 12,921.71/x
  3. Step 3: Cross multiply
    23,531.90x = 32,472.90 × 12,921.71
  4. Step 4: Simplify right side
    23,531.90x = 419,605,234.29
  5. Step 5: Solve for x
    x = 419,605,234.29/23,531.90
  6. Step 6: Final answer
    x = 17,831.34

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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.