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Finding the Fourth Proportional to 3,201.75, 4,802.06 and 861.91

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Solution

The fourth proportional to 3,201.75, 4,802.06 and 861.91 is: 1,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.75 : 4,802.06 = 861.91 : x
  2. Step 2: Convert to fraction form
    3,201.75/4,802.06 = 861.91/x
  3. Step 3: Cross multiply
    3,201.75x = 4,802.06 × 861.91
  4. Step 4: Simplify right side
    3,201.75x = 4,138,933.68
  5. Step 5: Solve for x
    x = 4,138,933.68/3,201.75
  6. Step 6: Final answer
    x = 1,292.71

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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.