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Finding the Fourth Proportional to 3,691.50, 5,093.16 and 2,198.70

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Solution

The fourth proportional to 3,691.50, 5,093.16 and 2,198.70 is: 3,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.50 : 5,093.16 = 2,198.70 : x
  2. Step 2: Convert to fraction form
    3,691.50/5,093.16 = 2,198.70/x
  3. Step 3: Cross multiply
    3,691.50x = 5,093.16 × 2,198.70
  4. Step 4: Simplify right side
    3,691.50x = 11,198,330.89
  5. Step 5: Solve for x
    x = 11,198,330.89/3,691.50
  6. Step 6: Final answer
    x = 3,033.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.