Home / 2,138.08-3,207.48-677.20

Finding the Fourth Proportional to 2,138.08, 3,207.48 and 677.20

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Solution

The fourth proportional to 2,138.08, 3,207.48 and 677.20 is: 1,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.08 : 3,207.48 = 677.20 : x
  2. Step 2: Convert to fraction form
    2,138.08/3,207.48 = 677.20/x
  3. Step 3: Cross multiply
    2,138.08x = 3,207.48 × 677.20
  4. Step 4: Simplify right side
    2,138.08x = 2,172,105.46
  5. Step 5: Solve for x
    x = 2,172,105.46/2,138.08
  6. Step 6: Final answer
    x = 1,015.91

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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.