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Finding the Fourth Proportional to 18,427, 27,644.82 and 6,115

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Solution

The fourth proportional to 18,427, 27,644.82 and 6,115 is: 9,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427 : 27,644.82 = 6,115 : x
  2. Step 2: Convert to fraction form
    18,427/27,644.82 = 6,115/x
  3. Step 3: Cross multiply
    18,427x = 27,644.82 × 6,115
  4. Step 4: Simplify right side
    18,427x = 169,048,074.30
  5. Step 5: Solve for x
    x = 169,048,074.30/18,427
  6. Step 6: Final answer
    x = 9,173.93

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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.