Home / 2,134.47-3,202.15-747.75

Finding the Fourth Proportional to 2,134.47, 3,202.15 and 747.75

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Solution

The fourth proportional to 2,134.47, 3,202.15 and 747.75 is: 1,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.47 : 3,202.15 = 747.75 : x
  2. Step 2: Convert to fraction form
    2,134.47/3,202.15 = 747.75/x
  3. Step 3: Cross multiply
    2,134.47x = 3,202.15 × 747.75
  4. Step 4: Simplify right side
    2,134.47x = 2,394,407.66
  5. Step 5: Solve for x
    x = 2,394,407.66/2,134.47
  6. Step 6: Final answer
    x = 1,121.78

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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.