Home / 3,254.96-4,882.40-789.78

Finding the Fourth Proportional to 3,254.96, 4,882.40 and 789.78

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Solution

The fourth proportional to 3,254.96, 4,882.40 and 789.78 is: 1,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.96 : 4,882.40 = 789.78 : x
  2. Step 2: Convert to fraction form
    3,254.96/4,882.40 = 789.78/x
  3. Step 3: Cross multiply
    3,254.96x = 4,882.40 × 789.78
  4. Step 4: Simplify right side
    3,254.96x = 3,856,021.87
  5. Step 5: Solve for x
    x = 3,856,021.87/3,254.96
  6. Step 6: Final answer
    x = 1,184.66

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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.