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Finding the Fourth Proportional to 18,391.68, 25,361.28 and 12,096

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Solution

The fourth proportional to 18,391.68, 25,361.28 and 12,096 is: 16,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,391.68 : 25,361.28 = 12,096 : x
  2. Step 2: Convert to fraction form
    18,391.68/25,361.28 = 12,096/x
  3. Step 3: Cross multiply
    18,391.68x = 25,361.28 × 12,096
  4. Step 4: Simplify right side
    18,391.68x = 306,770,042.88
  5. Step 5: Solve for x
    x = 306,770,042.88/18,391.68
  6. Step 6: Final answer
    x = 16,679.83

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Why These Related Problems?

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