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Finding the Fourth Proportional to 3,195.52, 4,411.84 and 2,200.48

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Solution

The fourth proportional to 3,195.52, 4,411.84 and 2,200.48 is: 3,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.52 : 4,411.84 = 2,200.48 : x
  2. Step 2: Convert to fraction form
    3,195.52/4,411.84 = 2,200.48/x
  3. Step 3: Cross multiply
    3,195.52x = 4,411.84 × 2,200.48
  4. Step 4: Simplify right side
    3,195.52x = 9,708,165.68
  5. Step 5: Solve for x
    x = 9,708,165.68/3,195.52
  6. Step 6: Final answer
    x = 3,038.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.