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Finding the Fourth Proportional to 18,228, 27,348.08 and 6,542.13

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Solution

The fourth proportional to 18,228, 27,348.08 and 6,542.13 is: 9,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228 : 27,348.08 = 6,542.13 : x
  2. Step 2: Convert to fraction form
    18,228/27,348.08 = 6,542.13/x
  3. Step 3: Cross multiply
    18,228x = 27,348.08 × 6,542.13
  4. Step 4: Simplify right side
    18,228x = 178,914,694.61
  5. Step 5: Solve for x
    x = 178,914,694.61/18,228
  6. Step 6: Final answer
    x = 9,815.38

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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.