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Finding the Fourth Proportional to 2,764.62, 4,148.46 and 2,149.56

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Solution

The fourth proportional to 2,764.62, 4,148.46 and 2,149.56 is: 3,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.62 : 4,148.46 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    2,764.62/4,148.46 = 2,149.56/x
  3. Step 3: Cross multiply
    2,764.62x = 4,148.46 × 2,149.56
  4. Step 4: Simplify right side
    2,764.62x = 8,917,363.68
  5. Step 5: Solve for x
    x = 8,917,363.68/2,764.62
  6. Step 6: Final answer
    x = 3,225.53

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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.