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Finding the Fourth Proportional to 2,747.75, 4,115.22 and 1,649.69

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Solution

The fourth proportional to 2,747.75, 4,115.22 and 1,649.69 is: 2,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.75 : 4,115.22 = 1,649.69 : x
  2. Step 2: Convert to fraction form
    2,747.75/4,115.22 = 1,649.69/x
  3. Step 3: Cross multiply
    2,747.75x = 4,115.22 × 1,649.69
  4. Step 4: Simplify right side
    2,747.75x = 6,788,816.71
  5. Step 5: Solve for x
    x = 6,788,816.71/2,747.75
  6. Step 6: Final answer
    x = 2,470.69

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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.