Home / 2,212.25-3,318.77-826.54

Finding the Fourth Proportional to 2,212.25, 3,318.77 and 826.54

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Solution

The fourth proportional to 2,212.25, 3,318.77 and 826.54 is: 1,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.25 : 3,318.77 = 826.54 : x
  2. Step 2: Convert to fraction form
    2,212.25/3,318.77 = 826.54/x
  3. Step 3: Cross multiply
    2,212.25x = 3,318.77 × 826.54
  4. Step 4: Simplify right side
    2,212.25x = 2,743,089.93
  5. Step 5: Solve for x
    x = 2,743,089.93/2,212.25
  6. Step 6: Final answer
    x = 1,239.96

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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.