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Finding the Fourth Proportional to 6,791.40, 9,372 and 3,766.50

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Solution

The fourth proportional to 6,791.40, 9,372 and 3,766.50 is: 5,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.40 : 9,372 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    6,791.40/9,372 = 3,766.50/x
  3. Step 3: Cross multiply
    6,791.40x = 9,372 × 3,766.50
  4. Step 4: Simplify right side
    6,791.40x = 35,299,638
  5. Step 5: Solve for x
    x = 35,299,638/6,791.40
  6. Step 6: Final answer
    x = 5,197.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.