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Finding the Fourth Proportional to 3,966.84, 5,474.32 and 2,198.41

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Solution

The fourth proportional to 3,966.84, 5,474.32 and 2,198.41 is: 3,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,474.32 = 2,198.41 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,474.32 = 2,198.41/x
  3. Step 3: Cross multiply
    3,966.84x = 5,474.32 × 2,198.41
  4. Step 4: Simplify right side
    3,966.84x = 12,034,780.65
  5. Step 5: Solve for x
    x = 12,034,780.65/3,966.84
  6. Step 6: Final answer
    x = 3,033.85

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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.