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Finding the Fourth Proportional to 2,757.34, 4,138.97 and 1,114.97

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Solution

The fourth proportional to 2,757.34, 4,138.97 and 1,114.97 is: 1,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.34 : 4,138.97 = 1,114.97 : x
  2. Step 2: Convert to fraction form
    2,757.34/4,138.97 = 1,114.97/x
  3. Step 3: Cross multiply
    2,757.34x = 4,138.97 × 1,114.97
  4. Step 4: Simplify right side
    2,757.34x = 4,614,801.11
  5. Step 5: Solve for x
    x = 4,614,801.11/2,757.34
  6. Step 6: Final answer
    x = 1,673.64

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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.