Home / 2,138.13-3,207.38-677.43

Finding the Fourth Proportional to 2,138.13, 3,207.38 and 677.43

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Solution

The fourth proportional to 2,138.13, 3,207.38 and 677.43 is: 1,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.13 : 3,207.38 = 677.43 : x
  2. Step 2: Convert to fraction form
    2,138.13/3,207.38 = 677.43/x
  3. Step 3: Cross multiply
    2,138.13x = 3,207.38 × 677.43
  4. Step 4: Simplify right side
    2,138.13x = 2,172,772.05
  5. Step 5: Solve for x
    x = 2,172,772.05/2,138.13
  6. Step 6: Final answer
    x = 1,016.20

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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.