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Finding the Fourth Proportional to 3,966.75, 5,474.12 and 2,198.62

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Solution

The fourth proportional to 3,966.75, 5,474.12 and 2,198.62 is: 3,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.75 : 5,474.12 = 2,198.62 : x
  2. Step 2: Convert to fraction form
    3,966.75/5,474.12 = 2,198.62/x
  3. Step 3: Cross multiply
    3,966.75x = 5,474.12 × 2,198.62
  4. Step 4: Simplify right side
    3,966.75x = 12,035,505.56
  5. Step 5: Solve for x
    x = 12,035,505.56/3,966.75
  6. Step 6: Final answer
    x = 3,034.10

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1.5x scale

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.