Home / 2,282.21-3,422.86-721.95

Finding the Fourth Proportional to 2,282.21, 3,422.86 and 721.95

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Solution

The fourth proportional to 2,282.21, 3,422.86 and 721.95 is: 1,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.21 : 3,422.86 = 721.95 : x
  2. Step 2: Convert to fraction form
    2,282.21/3,422.86 = 721.95/x
  3. Step 3: Cross multiply
    2,282.21x = 3,422.86 × 721.95
  4. Step 4: Simplify right side
    2,282.21x = 2,471,119.14
  5. Step 5: Solve for x
    x = 2,471,119.14/2,282.21
  6. Step 6: Final answer
    x = 1,082.78

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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.