Home / 2,213.52-3,319.20-826.44

Finding the Fourth Proportional to 2,213.52, 3,319.20 and 826.44

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Solution

The fourth proportional to 2,213.52, 3,319.20 and 826.44 is: 1,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.52 : 3,319.20 = 826.44 : x
  2. Step 2: Convert to fraction form
    2,213.52/3,319.20 = 826.44/x
  3. Step 3: Cross multiply
    2,213.52x = 3,319.20 × 826.44
  4. Step 4: Simplify right side
    2,213.52x = 2,743,119.65
  5. Step 5: Solve for x
    x = 2,743,119.65/2,213.52
  6. Step 6: Final answer
    x = 1,239.26

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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.