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Finding the Fourth Proportional to 11,620.80, 17,413.92 and 7,669.44

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Solution

The fourth proportional to 11,620.80, 17,413.92 and 7,669.44 is: 11,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.80 : 17,413.92 = 7,669.44 : x
  2. Step 2: Convert to fraction form
    11,620.80/17,413.92 = 7,669.44/x
  3. Step 3: Cross multiply
    11,620.80x = 17,413.92 × 7,669.44
  4. Step 4: Simplify right side
    11,620.80x = 133,555,014.60
  5. Step 5: Solve for x
    x = 133,555,014.60/11,620.80
  6. Step 6: Final answer
    x = 11,492.76

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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.