Home / 3,827.96-5,282.52-2,255.78

Finding the Fourth Proportional to 3,827.96, 5,282.52 and 2,255.78

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Solution

The fourth proportional to 3,827.96, 5,282.52 and 2,255.78 is: 3,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.96 : 5,282.52 = 2,255.78 : x
  2. Step 2: Convert to fraction form
    3,827.96/5,282.52 = 2,255.78/x
  3. Step 3: Cross multiply
    3,827.96x = 5,282.52 × 2,255.78
  4. Step 4: Simplify right side
    3,827.96x = 11,916,202.97
  5. Step 5: Solve for x
    x = 11,916,202.97/3,827.96
  6. Step 6: Final answer
    x = 3,112.94

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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.