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Finding the Fourth Proportional to 3,100.23, 4,650.39 and 791.73

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Solution

The fourth proportional to 3,100.23, 4,650.39 and 791.73 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.23 : 4,650.39 = 791.73 : x
  2. Step 2: Convert to fraction form
    3,100.23/4,650.39 = 791.73/x
  3. Step 3: Cross multiply
    3,100.23x = 4,650.39 × 791.73
  4. Step 4: Simplify right side
    3,100.23x = 3,681,853.27
  5. Step 5: Solve for x
    x = 3,681,853.27/3,100.23
  6. Step 6: Final answer
    x = 1,187.61

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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.