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Finding the Fourth Proportional to 3,762.68, 5,627.61 and 2,198.97

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Solution

The fourth proportional to 3,762.68, 5,627.61 and 2,198.97 is: 3,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.68 : 5,627.61 = 2,198.97 : x
  2. Step 2: Convert to fraction form
    3,762.68/5,627.61 = 2,198.97/x
  3. Step 3: Cross multiply
    3,762.68x = 5,627.61 × 2,198.97
  4. Step 4: Simplify right side
    3,762.68x = 12,374,945.56
  5. Step 5: Solve for x
    x = 12,374,945.56/3,762.68
  6. Step 6: Final answer
    x = 3,288.87

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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.