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Finding the Fourth Proportional to 3,100.41, 4,650.55 and 791.91

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Solution

The fourth proportional to 3,100.41, 4,650.55 and 791.91 is: 1,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.41 : 4,650.55 = 791.91 : x
  2. Step 2: Convert to fraction form
    3,100.41/4,650.55 = 791.91/x
  3. Step 3: Cross multiply
    3,100.41x = 4,650.55 × 791.91
  4. Step 4: Simplify right side
    3,100.41x = 3,682,815.07
  5. Step 5: Solve for x
    x = 3,682,815.07/3,100.41
  6. Step 6: Final answer
    x = 1,187.85

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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.