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Finding the Fourth Proportional to 2,866.74, 3,976.20 and 2,750.10

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Solution

The fourth proportional to 2,866.74, 3,976.20 and 2,750.10 is: 3,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.74 : 3,976.20 = 2,750.10 : x
  2. Step 2: Convert to fraction form
    2,866.74/3,976.20 = 2,750.10/x
  3. Step 3: Cross multiply
    2,866.74x = 3,976.20 × 2,750.10
  4. Step 4: Simplify right side
    2,866.74x = 10,934,947.62
  5. Step 5: Solve for x
    x = 10,934,947.62/2,866.74
  6. Step 6: Final answer
    x = 3,814.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.