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Finding the Fourth Proportional to 3,296.72, 4,942.20 and 2,812.88

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Solution

The fourth proportional to 3,296.72, 4,942.20 and 2,812.88 is: 4,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.72 : 4,942.20 = 2,812.88 : x
  2. Step 2: Convert to fraction form
    3,296.72/4,942.20 = 2,812.88/x
  3. Step 3: Cross multiply
    3,296.72x = 4,942.20 × 2,812.88
  4. Step 4: Simplify right side
    3,296.72x = 13,901,815.54
  5. Step 5: Solve for x
    x = 13,901,815.54/3,296.72
  6. Step 6: Final answer
    x = 4,216.86

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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.