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Finding the Fourth Proportional to 9,791.78, 14,616 and 8,413.97

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Solution

The fourth proportional to 9,791.78, 14,616 and 8,413.97 is: 12,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.78 : 14,616 = 8,413.97 : x
  2. Step 2: Convert to fraction form
    9,791.78/14,616 = 8,413.97/x
  3. Step 3: Cross multiply
    9,791.78x = 14,616 × 8,413.97
  4. Step 4: Simplify right side
    9,791.78x = 122,978,512.44
  5. Step 5: Solve for x
    x = 122,978,512.44/9,791.78
  6. Step 6: Final answer
    x = 12,559.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.