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Finding the Fourth Proportional to 3,966.72, 5,474.02 and 2,198.32

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Solution

The fourth proportional to 3,966.72, 5,474.02 and 2,198.32 is: 3,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.72 : 5,474.02 = 2,198.32 : x
  2. Step 2: Convert to fraction form
    3,966.72/5,474.02 = 2,198.32/x
  3. Step 3: Cross multiply
    3,966.72x = 5,474.02 × 2,198.32
  4. Step 4: Simplify right side
    3,966.72x = 12,033,647.65
  5. Step 5: Solve for x
    x = 12,033,647.65/3,966.72
  6. Step 6: Final answer
    x = 3,033.65

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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.