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Finding the Fourth Proportional to 2,781.78, 4,172.76 and 834.09

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Solution

The fourth proportional to 2,781.78, 4,172.76 and 834.09 is: 1,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.78 : 4,172.76 = 834.09 : x
  2. Step 2: Convert to fraction form
    2,781.78/4,172.76 = 834.09/x
  3. Step 3: Cross multiply
    2,781.78x = 4,172.76 × 834.09
  4. Step 4: Simplify right side
    2,781.78x = 3,480,457.39
  5. Step 5: Solve for x
    x = 3,480,457.39/2,781.78
  6. Step 6: Final answer
    x = 1,251.16

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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.