Home / 2,228.62-3,343.22-823.13

Finding the Fourth Proportional to 2,228.62, 3,343.22 and 823.13

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Solution

The fourth proportional to 2,228.62, 3,343.22 and 823.13 is: 1,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.62 : 3,343.22 = 823.13 : x
  2. Step 2: Convert to fraction form
    2,228.62/3,343.22 = 823.13/x
  3. Step 3: Cross multiply
    2,228.62x = 3,343.22 × 823.13
  4. Step 4: Simplify right side
    2,228.62x = 2,751,900.56
  5. Step 5: Solve for x
    x = 2,751,900.56/2,228.62
  6. Step 6: Final answer
    x = 1,234.80

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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.