Home / 2,559.14-3,838.35-827.78

Finding the Fourth Proportional to 2,559.14, 3,838.35 and 827.78

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Solution

The fourth proportional to 2,559.14, 3,838.35 and 827.78 is: 1,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.14 : 3,838.35 = 827.78 : x
  2. Step 2: Convert to fraction form
    2,559.14/3,838.35 = 827.78/x
  3. Step 3: Cross multiply
    2,559.14x = 3,838.35 × 827.78
  4. Step 4: Simplify right side
    2,559.14x = 3,177,309.36
  5. Step 5: Solve for x
    x = 3,177,309.36/2,559.14
  6. Step 6: Final answer
    x = 1,241.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.