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Finding the Fourth Proportional to 2,198.90, 3,295.56 and 2,141.48

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Solution

The fourth proportional to 2,198.90, 3,295.56 and 2,141.48 is: 3,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.90 : 3,295.56 = 2,141.48 : x
  2. Step 2: Convert to fraction form
    2,198.90/3,295.56 = 2,141.48/x
  3. Step 3: Cross multiply
    2,198.90x = 3,295.56 × 2,141.48
  4. Step 4: Simplify right side
    2,198.90x = 7,057,375.83
  5. Step 5: Solve for x
    x = 7,057,375.83/2,198.90
  6. Step 6: Final answer
    x = 3,209.50

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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.