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Finding the Fourth Proportional to 2,874.35, 3,965.96 and 1,694.79

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Solution

The fourth proportional to 2,874.35, 3,965.96 and 1,694.79 is: 2,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.35 : 3,965.96 = 1,694.79 : x
  2. Step 2: Convert to fraction form
    2,874.35/3,965.96 = 1,694.79/x
  3. Step 3: Cross multiply
    2,874.35x = 3,965.96 × 1,694.79
  4. Step 4: Simplify right side
    2,874.35x = 6,721,473.59
  5. Step 5: Solve for x
    x = 6,721,473.59/2,874.35
  6. Step 6: Final answer
    x = 2,338.43

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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.