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Finding the Fourth Proportional to 2,739.42, 4,109.54 and 791.78

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Solution

The fourth proportional to 2,739.42, 4,109.54 and 791.78 is: 1,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.42 : 4,109.54 = 791.78 : x
  2. Step 2: Convert to fraction form
    2,739.42/4,109.54 = 791.78/x
  3. Step 3: Cross multiply
    2,739.42x = 4,109.54 × 791.78
  4. Step 4: Simplify right side
    2,739.42x = 3,253,827.07
  5. Step 5: Solve for x
    x = 3,253,827.07/2,739.42
  6. Step 6: Final answer
    x = 1,187.78

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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.