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Finding the Fourth Proportional to 3,857.89, 5,798.18 and 3,203.97

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Solution

The fourth proportional to 3,857.89, 5,798.18 and 3,203.97 is: 4,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.89 : 5,798.18 = 3,203.97 : x
  2. Step 2: Convert to fraction form
    3,857.89/5,798.18 = 3,203.97/x
  3. Step 3: Cross multiply
    3,857.89x = 5,798.18 × 3,203.97
  4. Step 4: Simplify right side
    3,857.89x = 18,577,194.77
  5. Step 5: Solve for x
    x = 18,577,194.77/3,857.89
  6. Step 6: Final answer
    x = 4,815.38

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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.