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Finding the Fourth Proportional to 3,201.85, 4,802.39 and 862.04

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Solution

The fourth proportional to 3,201.85, 4,802.39 and 862.04 is: 1,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.85 : 4,802.39 = 862.04 : x
  2. Step 2: Convert to fraction form
    3,201.85/4,802.39 = 862.04/x
  3. Step 3: Cross multiply
    3,201.85x = 4,802.39 × 862.04
  4. Step 4: Simplify right side
    3,201.85x = 4,139,863.20
  5. Step 5: Solve for x
    x = 4,139,863.20/3,201.85
  6. Step 6: Final answer
    x = 1,292.96

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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.