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Finding the Fourth Proportional to 18,003, 27,008.82 and 5,691

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Solution

The fourth proportional to 18,003, 27,008.82 and 5,691 is: 8,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,003 : 27,008.82 = 5,691 : x
  2. Step 2: Convert to fraction form
    18,003/27,008.82 = 5,691/x
  3. Step 3: Cross multiply
    18,003x = 27,008.82 × 5,691
  4. Step 4: Simplify right side
    18,003x = 153,707,194.62
  5. Step 5: Solve for x
    x = 153,707,194.62/18,003
  6. Step 6: Final answer
    x = 8,537.87

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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.