Home / 2,213.80-3,319.34-826.43

Finding the Fourth Proportional to 2,213.80, 3,319.34 and 826.43

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Solution

The fourth proportional to 2,213.80, 3,319.34 and 826.43 is: 1,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.80 : 3,319.34 = 826.43 : x
  2. Step 2: Convert to fraction form
    2,213.80/3,319.34 = 826.43/x
  3. Step 3: Cross multiply
    2,213.80x = 3,319.34 × 826.43
  4. Step 4: Simplify right side
    2,213.80x = 2,743,181.43
  5. Step 5: Solve for x
    x = 2,743,181.43/2,213.80
  6. Step 6: Final answer
    x = 1,239.13

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1.5x scale

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.