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Finding the Fourth Proportional to 2,739.33, 4,109.04 and 791.67

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Solution

The fourth proportional to 2,739.33, 4,109.04 and 791.67 is: 1,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.33 : 4,109.04 = 791.67 : x
  2. Step 2: Convert to fraction form
    2,739.33/4,109.04 = 791.67/x
  3. Step 3: Cross multiply
    2,739.33x = 4,109.04 × 791.67
  4. Step 4: Simplify right side
    2,739.33x = 3,253,003.70
  5. Step 5: Solve for x
    x = 3,253,003.70/2,739.33
  6. Step 6: Final answer
    x = 1,187.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.