Home / 2,213.43-3,318.77-826.05

Finding the Fourth Proportional to 2,213.43, 3,318.77 and 826.05

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Solution

The fourth proportional to 2,213.43, 3,318.77 and 826.05 is: 1,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.43 : 3,318.77 = 826.05 : x
  2. Step 2: Convert to fraction form
    2,213.43/3,318.77 = 826.05/x
  3. Step 3: Cross multiply
    2,213.43x = 3,318.77 × 826.05
  4. Step 4: Simplify right side
    2,213.43x = 2,741,465.80
  5. Step 5: Solve for x
    x = 2,741,465.80/2,213.43
  6. Step 6: Final answer
    x = 1,238.56

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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.