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Finding the Fourth Proportional to 18,546.80, 27,822 and 5,398.88

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Solution

The fourth proportional to 18,546.80, 27,822 and 5,398.88 is: 8,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.80 : 27,822 = 5,398.88 : x
  2. Step 2: Convert to fraction form
    18,546.80/27,822 = 5,398.88/x
  3. Step 3: Cross multiply
    18,546.80x = 27,822 × 5,398.88
  4. Step 4: Simplify right side
    18,546.80x = 150,207,639.36
  5. Step 5: Solve for x
    x = 150,207,639.36/18,546.80
  6. Step 6: Final answer
    x = 8,098.84

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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.