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Finding the Fourth Proportional to 2,751.57, 4,127.49 and 1,107.89

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Solution

The fourth proportional to 2,751.57, 4,127.49 and 1,107.89 is: 1,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.57 : 4,127.49 = 1,107.89 : x
  2. Step 2: Convert to fraction form
    2,751.57/4,127.49 = 1,107.89/x
  3. Step 3: Cross multiply
    2,751.57x = 4,127.49 × 1,107.89
  4. Step 4: Simplify right side
    2,751.57x = 4,572,822.95
  5. Step 5: Solve for x
    x = 4,572,822.95/2,751.57
  6. Step 6: Final answer
    x = 1,661.90

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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.