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Finding the Fourth Proportional to 2,766.69, 4,150.02 and 2,278.71

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Solution

The fourth proportional to 2,766.69, 4,150.02 and 2,278.71 is: 3,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.69 : 4,150.02 = 2,278.71 : x
  2. Step 2: Convert to fraction form
    2,766.69/4,150.02 = 2,278.71/x
  3. Step 3: Cross multiply
    2,766.69x = 4,150.02 × 2,278.71
  4. Step 4: Simplify right side
    2,766.69x = 9,456,700.62
  5. Step 5: Solve for x
    x = 9,456,700.62/2,766.69
  6. Step 6: Final answer
    x = 3,418.06

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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.