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Finding the Fourth Proportional to 2,231.21, 3,344.22 and 843.66

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Solution

The fourth proportional to 2,231.21, 3,344.22 and 843.66 is: 1,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.21 : 3,344.22 = 843.66 : x
  2. Step 2: Convert to fraction form
    2,231.21/3,344.22 = 843.66/x
  3. Step 3: Cross multiply
    2,231.21x = 3,344.22 × 843.66
  4. Step 4: Simplify right side
    2,231.21x = 2,821,384.65
  5. Step 5: Solve for x
    x = 2,821,384.65/2,231.21
  6. Step 6: Final answer
    x = 1,264.51

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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.