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Finding the Fourth Proportional to 2,765.52, 4,140.18 and 2,743.65

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Solution

The fourth proportional to 2,765.52, 4,140.18 and 2,743.65 is: 4,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.52 : 4,140.18 = 2,743.65 : x
  2. Step 2: Convert to fraction form
    2,765.52/4,140.18 = 2,743.65/x
  3. Step 3: Cross multiply
    2,765.52x = 4,140.18 × 2,743.65
  4. Step 4: Simplify right side
    2,765.52x = 11,359,204.86
  5. Step 5: Solve for x
    x = 11,359,204.86/2,765.52
  6. Step 6: Final answer
    x = 4,107.44

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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.