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Finding the Fourth Proportional to 18,002, 27,001.86 and 5,521.04

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Solution

The fourth proportional to 18,002, 27,001.86 and 5,521.04 is: 8,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002 : 27,001.86 = 5,521.04 : x
  2. Step 2: Convert to fraction form
    18,002/27,001.86 = 5,521.04/x
  3. Step 3: Cross multiply
    18,002x = 27,001.86 × 5,521.04
  4. Step 4: Simplify right side
    18,002x = 149,078,349.13
  5. Step 5: Solve for x
    x = 149,078,349.13/18,002
  6. Step 6: Final answer
    x = 8,281.21

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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.