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Finding the Fourth Proportional to 3,850.86, 5,769.22 and 3,435.78

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Solution

The fourth proportional to 3,850.86, 5,769.22 and 3,435.78 is: 5,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.86 : 5,769.22 = 3,435.78 : x
  2. Step 2: Convert to fraction form
    3,850.86/5,769.22 = 3,435.78/x
  3. Step 3: Cross multiply
    3,850.86x = 5,769.22 × 3,435.78
  4. Step 4: Simplify right side
    3,850.86x = 19,821,770.69
  5. Step 5: Solve for x
    x = 19,821,770.69/3,850.86
  6. Step 6: Final answer
    x = 5,147.36

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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.