Home / 2,178.80-3,265.44-1,022

Finding the Fourth Proportional to 2,178.80, 3,265.44 and 1,022

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Solution

The fourth proportional to 2,178.80, 3,265.44 and 1,022 is: 1,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.80 : 3,265.44 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,178.80/3,265.44 = 1,022/x
  3. Step 3: Cross multiply
    2,178.80x = 3,265.44 × 1,022
  4. Step 4: Simplify right side
    2,178.80x = 3,337,279.68
  5. Step 5: Solve for x
    x = 3,337,279.68/2,178.80
  6. Step 6: Final answer
    x = 1,531.71

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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.