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Finding the Fourth Proportional to 3,693.54, 5,540.31 and 1,227.42

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Solution

The fourth proportional to 3,693.54, 5,540.31 and 1,227.42 is: 1,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.54 : 5,540.31 = 1,227.42 : x
  2. Step 2: Convert to fraction form
    3,693.54/5,540.31 = 1,227.42/x
  3. Step 3: Cross multiply
    3,693.54x = 5,540.31 × 1,227.42
  4. Step 4: Simplify right side
    3,693.54x = 6,800,287.30
  5. Step 5: Solve for x
    x = 6,800,287.30/3,693.54
  6. Step 6: Final answer
    x = 1,841.13

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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.