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Finding the Fourth Proportional to 8,201.16, 12,301.88 and 3,203.91

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Solution

The fourth proportional to 8,201.16, 12,301.88 and 3,203.91 is: 4,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.16 : 12,301.88 = 3,203.91 : x
  2. Step 2: Convert to fraction form
    8,201.16/12,301.88 = 3,203.91/x
  3. Step 3: Cross multiply
    8,201.16x = 12,301.88 × 3,203.91
  4. Step 4: Simplify right side
    8,201.16x = 39,414,100.33
  5. Step 5: Solve for x
    x = 39,414,100.33/8,201.16
  6. Step 6: Final answer
    x = 4,805.92

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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.