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Finding the Fourth Proportional to 2,791.87, 4,187.77 and 683.52

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Solution

The fourth proportional to 2,791.87, 4,187.77 and 683.52 is: 1,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.87 : 4,187.77 = 683.52 : x
  2. Step 2: Convert to fraction form
    2,791.87/4,187.77 = 683.52/x
  3. Step 3: Cross multiply
    2,791.87x = 4,187.77 × 683.52
  4. Step 4: Simplify right side
    2,791.87x = 2,862,424.55
  5. Step 5: Solve for x
    x = 2,862,424.55/2,791.87
  6. Step 6: Final answer
    x = 1,025.27

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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.