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Finding the Fourth Proportional to 3,866.78, 5,796.23 and 1,525.85

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Solution

The fourth proportional to 3,866.78, 5,796.23 and 1,525.85 is: 2,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.78 : 5,796.23 = 1,525.85 : x
  2. Step 2: Convert to fraction form
    3,866.78/5,796.23 = 1,525.85/x
  3. Step 3: Cross multiply
    3,866.78x = 5,796.23 × 1,525.85
  4. Step 4: Simplify right side
    3,866.78x = 8,844,183.70
  5. Step 5: Solve for x
    x = 8,844,183.70/3,866.78
  6. Step 6: Final answer
    x = 2,287.22

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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.