Home / 2,786.82-3,849.60-2,231.28

Finding the Fourth Proportional to 2,786.82, 3,849.60 and 2,231.28

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Solution

The fourth proportional to 2,786.82, 3,849.60 and 2,231.28 is: 3,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.82 : 3,849.60 = 2,231.28 : x
  2. Step 2: Convert to fraction form
    2,786.82/3,849.60 = 2,231.28/x
  3. Step 3: Cross multiply
    2,786.82x = 3,849.60 × 2,231.28
  4. Step 4: Simplify right side
    2,786.82x = 8,589,535.49
  5. Step 5: Solve for x
    x = 8,589,535.49/2,786.82
  6. Step 6: Final answer
    x = 3,082.20

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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.