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Finding the Fourth Proportional to 3,887.75, 5,829.56 and 2,850.29

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Solution

The fourth proportional to 3,887.75, 5,829.56 and 2,850.29 is: 4,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.75 : 5,829.56 = 2,850.29 : x
  2. Step 2: Convert to fraction form
    3,887.75/5,829.56 = 2,850.29/x
  3. Step 3: Cross multiply
    3,887.75x = 5,829.56 × 2,850.29
  4. Step 4: Simplify right side
    3,887.75x = 16,615,936.57
  5. Step 5: Solve for x
    x = 16,615,936.57/3,887.75
  6. Step 6: Final answer
    x = 4,273.92

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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.