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Finding the Fourth Proportional to 6,978, 9,629.38 and 3,791.16

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Solution

The fourth proportional to 6,978, 9,629.38 and 3,791.16 is: 5,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,629.38 = 3,791.16 : x
  2. Step 2: Convert to fraction form
    6,978/9,629.38 = 3,791.16/x
  3. Step 3: Cross multiply
    6,978x = 9,629.38 × 3,791.16
  4. Step 4: Simplify right side
    6,978x = 36,506,520.28
  5. Step 5: Solve for x
    x = 36,506,520.28/6,978
  6. Step 6: Final answer
    x = 5,231.66

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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.