Home / 1,322.20-1,982.19-834.18

Finding the Fourth Proportional to 1,322.20, 1,982.19 and 834.18

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Solution

The fourth proportional to 1,322.20, 1,982.19 and 834.18 is: 1,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.20 : 1,982.19 = 834.18 : x
  2. Step 2: Convert to fraction form
    1,322.20/1,982.19 = 834.18/x
  3. Step 3: Cross multiply
    1,322.20x = 1,982.19 × 834.18
  4. Step 4: Simplify right side
    1,322.20x = 1,653,489.17
  5. Step 5: Solve for x
    x = 1,653,489.17/1,322.20
  6. Step 6: Final answer
    x = 1,250.56

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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.