Home / 2,202.43-3,297.30-1,462.78

Finding the Fourth Proportional to 2,202.43, 3,297.30 and 1,462.78

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Solution

The fourth proportional to 2,202.43, 3,297.30 and 1,462.78 is: 2,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.43 : 3,297.30 = 1,462.78 : x
  2. Step 2: Convert to fraction form
    2,202.43/3,297.30 = 1,462.78/x
  3. Step 3: Cross multiply
    2,202.43x = 3,297.30 × 1,462.78
  4. Step 4: Simplify right side
    2,202.43x = 4,823,229.17
  5. Step 5: Solve for x
    x = 4,823,229.17/2,202.43
  6. Step 6: Final answer
    x = 2,189.96

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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.