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Finding the Fourth Proportional to 2,142.44, 3,213.66 and 843.88

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Solution

The fourth proportional to 2,142.44, 3,213.66 and 843.88 is: 1,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.44 : 3,213.66 = 843.88 : x
  2. Step 2: Convert to fraction form
    2,142.44/3,213.66 = 843.88/x
  3. Step 3: Cross multiply
    2,142.44x = 3,213.66 × 843.88
  4. Step 4: Simplify right side
    2,142.44x = 2,711,943.40
  5. Step 5: Solve for x
    x = 2,711,943.40/2,142.44
  6. Step 6: Final answer
    x = 1,265.82

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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.