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Finding the Fourth Proportional to 2,791.86, 3,851.17 and 1,781.72

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Solution

The fourth proportional to 2,791.86, 3,851.17 and 1,781.72 is: 2,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.86 : 3,851.17 = 1,781.72 : x
  2. Step 2: Convert to fraction form
    2,791.86/3,851.17 = 1,781.72/x
  3. Step 3: Cross multiply
    2,791.86x = 3,851.17 × 1,781.72
  4. Step 4: Simplify right side
    2,791.86x = 6,861,706.61
  5. Step 5: Solve for x
    x = 6,861,706.61/2,791.86
  6. Step 6: Final answer
    x = 2,457.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.