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Finding the Fourth Proportional to 2,142.32, 3,213.47 and 843.75

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Solution

The fourth proportional to 2,142.32, 3,213.47 and 843.75 is: 1,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.32 : 3,213.47 = 843.75 : x
  2. Step 2: Convert to fraction form
    2,142.32/3,213.47 = 843.75/x
  3. Step 3: Cross multiply
    2,142.32x = 3,213.47 × 843.75
  4. Step 4: Simplify right side
    2,142.32x = 2,711,367.42
  5. Step 5: Solve for x
    x = 2,711,367.42/2,142.32
  6. Step 6: Final answer
    x = 1,265.63

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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.