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Finding the Fourth Proportional to 2,738.98, 4,109.08 and 791.03

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Solution

The fourth proportional to 2,738.98, 4,109.08 and 791.03 is: 1,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.98 : 4,109.08 = 791.03 : x
  2. Step 2: Convert to fraction form
    2,738.98/4,109.08 = 791.03/x
  3. Step 3: Cross multiply
    2,738.98x = 4,109.08 × 791.03
  4. Step 4: Simplify right side
    2,738.98x = 3,250,405.55
  5. Step 5: Solve for x
    x = 3,250,405.55/2,738.98
  6. Step 6: Final answer
    x = 1,186.72

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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.