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Finding the Fourth Proportional to 3,198.39, 4,801.07 and 2,197.83

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Solution

The fourth proportional to 3,198.39, 4,801.07 and 2,197.83 is: 3,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.39 : 4,801.07 = 2,197.83 : x
  2. Step 2: Convert to fraction form
    3,198.39/4,801.07 = 2,197.83/x
  3. Step 3: Cross multiply
    3,198.39x = 4,801.07 × 2,197.83
  4. Step 4: Simplify right side
    3,198.39x = 10,551,959.18
  5. Step 5: Solve for x
    x = 10,551,959.18/3,198.39
  6. Step 6: Final answer
    x = 3,299.15

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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.