Home / 2,198.38-3,298.90-965.78

Finding the Fourth Proportional to 2,198.38, 3,298.90 and 965.78

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Solution

The fourth proportional to 2,198.38, 3,298.90 and 965.78 is: 1,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.38 : 3,298.90 = 965.78 : x
  2. Step 2: Convert to fraction form
    2,198.38/3,298.90 = 965.78/x
  3. Step 3: Cross multiply
    2,198.38x = 3,298.90 × 965.78
  4. Step 4: Simplify right side
    2,198.38x = 3,186,011.64
  5. Step 5: Solve for x
    x = 3,186,011.64/2,198.38
  6. Step 6: Final answer
    x = 1,449.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.