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Finding the Fourth Proportional to 2,743.87, 4,116.89 and 1,100.19

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Solution

The fourth proportional to 2,743.87, 4,116.89 and 1,100.19 is: 1,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.87 : 4,116.89 = 1,100.19 : x
  2. Step 2: Convert to fraction form
    2,743.87/4,116.89 = 1,100.19/x
  3. Step 3: Cross multiply
    2,743.87x = 4,116.89 × 1,100.19
  4. Step 4: Simplify right side
    2,743.87x = 4,529,335.12
  5. Step 5: Solve for x
    x = 4,529,335.12/2,743.87
  6. Step 6: Final answer
    x = 1,650.71

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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.