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Finding the Fourth Proportional to 10,912.32, 16,375.48 and 10,872

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Solution

The fourth proportional to 10,912.32, 16,375.48 and 10,872 is: 16,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.32 : 16,375.48 = 10,872 : x
  2. Step 2: Convert to fraction form
    10,912.32/16,375.48 = 10,872/x
  3. Step 3: Cross multiply
    10,912.32x = 16,375.48 × 10,872
  4. Step 4: Simplify right side
    10,912.32x = 178,034,218.56
  5. Step 5: Solve for x
    x = 178,034,218.56/10,912.32
  6. Step 6: Final answer
    x = 16,314.97

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Why These Related Problems?

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