Home / 2,198.22-3,296.26-965.12

Finding the Fourth Proportional to 2,198.22, 3,296.26 and 965.12

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Solution

The fourth proportional to 2,198.22, 3,296.26 and 965.12 is: 1,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.22 : 3,296.26 = 965.12 : x
  2. Step 2: Convert to fraction form
    2,198.22/3,296.26 = 965.12/x
  3. Step 3: Cross multiply
    2,198.22x = 3,296.26 × 965.12
  4. Step 4: Simplify right side
    2,198.22x = 3,181,286.45
  5. Step 5: Solve for x
    x = 3,181,286.45/2,198.22
  6. Step 6: Final answer
    x = 1,447.21

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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.