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Finding the Fourth Proportional to 2,872.82, 3,965.22 and 1,694.27

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Solution

The fourth proportional to 2,872.82, 3,965.22 and 1,694.27 is: 2,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.82 : 3,965.22 = 1,694.27 : x
  2. Step 2: Convert to fraction form
    2,872.82/3,965.22 = 1,694.27/x
  3. Step 3: Cross multiply
    2,872.82x = 3,965.22 × 1,694.27
  4. Step 4: Simplify right side
    2,872.82x = 6,718,133.46
  5. Step 5: Solve for x
    x = 6,718,133.46/2,872.82
  6. Step 6: Final answer
    x = 2,338.52

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Why These Related Problems?

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