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Finding the Fourth Proportional to 2,874.19, 3,958.09 and 2,742.97

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Solution

The fourth proportional to 2,874.19, 3,958.09 and 2,742.97 is: 3,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.19 : 3,958.09 = 2,742.97 : x
  2. Step 2: Convert to fraction form
    2,874.19/3,958.09 = 2,742.97/x
  3. Step 3: Cross multiply
    2,874.19x = 3,958.09 × 2,742.97
  4. Step 4: Simplify right side
    2,874.19x = 10,856,922.13
  5. Step 5: Solve for x
    x = 10,856,922.13/2,874.19
  6. Step 6: Final answer
    x = 3,777.38

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1.5x scale

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.