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Finding the Fourth Proportional to 2,791.66, 4,192.35 and 2,563.78

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Solution

The fourth proportional to 2,791.66, 4,192.35 and 2,563.78 is: 3,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.66 : 4,192.35 = 2,563.78 : x
  2. Step 2: Convert to fraction form
    2,791.66/4,192.35 = 2,563.78/x
  3. Step 3: Cross multiply
    2,791.66x = 4,192.35 × 2,563.78
  4. Step 4: Simplify right side
    2,791.66x = 10,748,263.08
  5. Step 5: Solve for x
    x = 10,748,263.08/2,791.66
  6. Step 6: Final answer
    x = 3,850.13

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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.