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Finding the Fourth Proportional to 22,481.72, 31,024.87 and 12,409.97

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Solution

The fourth proportional to 22,481.72, 31,024.87 and 12,409.97 is: 17,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.72 : 31,024.87 = 12,409.97 : x
  2. Step 2: Convert to fraction form
    22,481.72/31,024.87 = 12,409.97/x
  3. Step 3: Cross multiply
    22,481.72x = 31,024.87 × 12,409.97
  4. Step 4: Simplify right side
    22,481.72x = 385,017,705.95
  5. Step 5: Solve for x
    x = 385,017,705.95/22,481.72
  6. Step 6: Final answer
    x = 17,125.82

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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.