Home / 2,138.30-3,207.87-677.57

Finding the Fourth Proportional to 2,138.30, 3,207.87 and 677.57

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Solution

The fourth proportional to 2,138.30, 3,207.87 and 677.57 is: 1,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.30 : 3,207.87 = 677.57 : x
  2. Step 2: Convert to fraction form
    2,138.30/3,207.87 = 677.57/x
  3. Step 3: Cross multiply
    2,138.30x = 3,207.87 × 677.57
  4. Step 4: Simplify right side
    2,138.30x = 2,173,540.44
  5. Step 5: Solve for x
    x = 2,173,540.44/2,138.30
  6. Step 6: Final answer
    x = 1,016.48

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1.5x scale

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.