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Finding the Fourth Proportional to 2,781.96, 4,172.94 and 834.20

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Solution

The fourth proportional to 2,781.96, 4,172.94 and 834.20 is: 1,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.96 : 4,172.94 = 834.20 : x
  2. Step 2: Convert to fraction form
    2,781.96/4,172.94 = 834.20/x
  3. Step 3: Cross multiply
    2,781.96x = 4,172.94 × 834.20
  4. Step 4: Simplify right side
    2,781.96x = 3,481,066.55
  5. Step 5: Solve for x
    x = 3,481,066.55/2,781.96
  6. Step 6: Final answer
    x = 1,251.30

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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.