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Finding the Fourth Proportional to 3,966.77, 5,474.16 and 2,198.41

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Solution

The fourth proportional to 3,966.77, 5,474.16 and 2,198.41 is: 3,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.77 : 5,474.16 = 2,198.41 : x
  2. Step 2: Convert to fraction form
    3,966.77/5,474.16 = 2,198.41/x
  3. Step 3: Cross multiply
    3,966.77x = 5,474.16 × 2,198.41
  4. Step 4: Simplify right side
    3,966.77x = 12,034,434.40
  5. Step 5: Solve for x
    x = 12,034,434.40/3,966.77
  6. Step 6: Final answer
    x = 3,033.81

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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.