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Finding the Fourth Proportional to 2,866.62, 3,959.37 and 2,201.88

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Solution

The fourth proportional to 2,866.62, 3,959.37 and 2,201.88 is: 3,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.62 : 3,959.37 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    2,866.62/3,959.37 = 2,201.88/x
  3. Step 3: Cross multiply
    2,866.62x = 3,959.37 × 2,201.88
  4. Step 4: Simplify right side
    2,866.62x = 8,718,057.62
  5. Step 5: Solve for x
    x = 8,718,057.62/2,866.62
  6. Step 6: Final answer
    x = 3,041.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.