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Finding the Fourth Proportional to 2,200.64, 3,296.64 and 1,042.88

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Solution

The fourth proportional to 2,200.64, 3,296.64 and 1,042.88 is: 1,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.64 : 3,296.64 = 1,042.88 : x
  2. Step 2: Convert to fraction form
    2,200.64/3,296.64 = 1,042.88/x
  3. Step 3: Cross multiply
    2,200.64x = 3,296.64 × 1,042.88
  4. Step 4: Simplify right side
    2,200.64x = 3,437,999.92
  5. Step 5: Solve for x
    x = 3,437,999.92/2,200.64
  6. Step 6: Final answer
    x = 1,562.27

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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.