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Finding the Fourth Proportional to 18,540, 27,812.88 and 6,230.88

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Solution

The fourth proportional to 18,540, 27,812.88 and 6,230.88 is: 9,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540 : 27,812.88 = 6,230.88 : x
  2. Step 2: Convert to fraction form
    18,540/27,812.88 = 6,230.88/x
  3. Step 3: Cross multiply
    18,540x = 27,812.88 × 6,230.88
  4. Step 4: Simplify right side
    18,540x = 173,298,717.73
  5. Step 5: Solve for x
    x = 173,298,717.73/18,540
  6. Step 6: Final answer
    x = 9,347.29

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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.