Home / 2,198.14-3,294.42-965.22

Finding the Fourth Proportional to 2,198.14, 3,294.42 and 965.22

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Solution

The fourth proportional to 2,198.14, 3,294.42 and 965.22 is: 1,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.14 : 3,294.42 = 965.22 : x
  2. Step 2: Convert to fraction form
    2,198.14/3,294.42 = 965.22/x
  3. Step 3: Cross multiply
    2,198.14x = 3,294.42 × 965.22
  4. Step 4: Simplify right side
    2,198.14x = 3,179,840.07
  5. Step 5: Solve for x
    x = 3,179,840.07/2,198.14
  6. Step 6: Final answer
    x = 1,446.60

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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.