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Finding the Fourth Proportional to 3,966.80, 5,473.98 and 2,198.40

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Solution

The fourth proportional to 3,966.80, 5,473.98 and 2,198.40 is: 3,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.80 : 5,473.98 = 2,198.40 : x
  2. Step 2: Convert to fraction form
    3,966.80/5,473.98 = 2,198.40/x
  3. Step 3: Cross multiply
    3,966.80x = 5,473.98 × 2,198.40
  4. Step 4: Simplify right side
    3,966.80x = 12,033,997.63
  5. Step 5: Solve for x
    x = 12,033,997.63/3,966.80
  6. Step 6: Final answer
    x = 3,033.68

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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.