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Finding the Fourth Proportional to 2,868.74, 3,958.84 and 1,689.78

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Solution

The fourth proportional to 2,868.74, 3,958.84 and 1,689.78 is: 2,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.74 : 3,958.84 = 1,689.78 : x
  2. Step 2: Convert to fraction form
    2,868.74/3,958.84 = 1,689.78/x
  3. Step 3: Cross multiply
    2,868.74x = 3,958.84 × 1,689.78
  4. Step 4: Simplify right side
    2,868.74x = 6,689,568.66
  5. Step 5: Solve for x
    x = 6,689,568.66/2,868.74
  6. Step 6: Final answer
    x = 2,331.88

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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.