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Finding the Fourth Proportional to 3,100.06, 4,650.10 and 791.56

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Solution

The fourth proportional to 3,100.06, 4,650.10 and 791.56 is: 1,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.06 : 4,650.10 = 791.56 : x
  2. Step 2: Convert to fraction form
    3,100.06/4,650.10 = 791.56/x
  3. Step 3: Cross multiply
    3,100.06x = 4,650.10 × 791.56
  4. Step 4: Simplify right side
    3,100.06x = 3,680,833.16
  5. Step 5: Solve for x
    x = 3,680,833.16/3,100.06
  6. Step 6: Final answer
    x = 1,187.34

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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.