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Finding the Fourth Proportional to 3,866.91, 5,791.08 and 3,203.87

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Solution

The fourth proportional to 3,866.91, 5,791.08 and 3,203.87 is: 4,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.91 : 5,791.08 = 3,203.87 : x
  2. Step 2: Convert to fraction form
    3,866.91/5,791.08 = 3,203.87/x
  3. Step 3: Cross multiply
    3,866.91x = 5,791.08 × 3,203.87
  4. Step 4: Simplify right side
    3,866.91x = 18,553,838.52
  5. Step 5: Solve for x
    x = 18,553,838.52/3,866.91
  6. Step 6: Final answer
    x = 4,798.10

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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.