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Finding the Fourth Proportional to 18,211.68, 25,134 and 11,142.80

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Solution

The fourth proportional to 18,211.68, 25,134 and 11,142.80 is: 15,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.68 : 25,134 = 11,142.80 : x
  2. Step 2: Convert to fraction form
    18,211.68/25,134 = 11,142.80/x
  3. Step 3: Cross multiply
    18,211.68x = 25,134 × 11,142.80
  4. Step 4: Simplify right side
    18,211.68x = 280,063,135.20
  5. Step 5: Solve for x
    x = 280,063,135.20/18,211.68
  6. Step 6: Final answer
    x = 15,378.22

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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.