Home / 2,198.91-3,282.68-2,122.02

Finding the Fourth Proportional to 2,198.91, 3,282.68 and 2,122.02

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Solution

The fourth proportional to 2,198.91, 3,282.68 and 2,122.02 is: 3,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.91 : 3,282.68 = 2,122.02 : x
  2. Step 2: Convert to fraction form
    2,198.91/3,282.68 = 2,122.02/x
  3. Step 3: Cross multiply
    2,198.91x = 3,282.68 × 2,122.02
  4. Step 4: Simplify right side
    2,198.91x = 6,965,912.61
  5. Step 5: Solve for x
    x = 6,965,912.61/2,198.91
  6. Step 6: Final answer
    x = 3,167.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.