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Finding the Fourth Proportional to 3,198.42, 4,414.50 and 2,149.88

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Solution

The fourth proportional to 3,198.42, 4,414.50 and 2,149.88 is: 2,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.42 : 4,414.50 = 2,149.88 : x
  2. Step 2: Convert to fraction form
    3,198.42/4,414.50 = 2,149.88/x
  3. Step 3: Cross multiply
    3,198.42x = 4,414.50 × 2,149.88
  4. Step 4: Simplify right side
    3,198.42x = 9,490,623.19
  5. Step 5: Solve for x
    x = 9,490,623.19/3,198.42
  6. Step 6: Final answer
    x = 2,967.28

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