Home / 2,213.54-3,320.33-826.52

Finding the Fourth Proportional to 2,213.54, 3,320.33 and 826.52

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Solution

The fourth proportional to 2,213.54, 3,320.33 and 826.52 is: 1,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.54 : 3,320.33 = 826.52 : x
  2. Step 2: Convert to fraction form
    2,213.54/3,320.33 = 826.52/x
  3. Step 3: Cross multiply
    2,213.54x = 3,320.33 × 826.52
  4. Step 4: Simplify right side
    2,213.54x = 2,744,317.09
  5. Step 5: Solve for x
    x = 2,744,317.09/2,213.54
  6. Step 6: Final answer
    x = 1,239.78

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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.