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Finding the Fourth Proportional to 18,387, 25,372.14 and 11,311.80

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Solution

The fourth proportional to 18,387, 25,372.14 and 11,311.80 is: 15,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,387 : 25,372.14 = 11,311.80 : x
  2. Step 2: Convert to fraction form
    18,387/25,372.14 = 11,311.80/x
  3. Step 3: Cross multiply
    18,387x = 25,372.14 × 11,311.80
  4. Step 4: Simplify right side
    18,387x = 287,004,573.25
  5. Step 5: Solve for x
    x = 287,004,573.25/18,387
  6. Step 6: Final answer
    x = 15,609.10

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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.