Home / 2,202.94-3,305.85-1,822.78

Finding the Fourth Proportional to 2,202.94, 3,305.85 and 1,822.78

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Solution

The fourth proportional to 2,202.94, 3,305.85 and 1,822.78 is: 2,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.94 : 3,305.85 = 1,822.78 : x
  2. Step 2: Convert to fraction form
    2,202.94/3,305.85 = 1,822.78/x
  3. Step 3: Cross multiply
    2,202.94x = 3,305.85 × 1,822.78
  4. Step 4: Simplify right side
    2,202.94x = 6,025,837.26
  5. Step 5: Solve for x
    x = 6,025,837.26/2,202.94
  6. Step 6: Final answer
    x = 2,735.36

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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.