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Finding the Fourth Proportional to 11,168.37, 15,413.15 and 7,384.97

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Solution

The fourth proportional to 11,168.37, 15,413.15 and 7,384.97 is: 10,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.37 : 15,413.15 = 7,384.97 : x
  2. Step 2: Convert to fraction form
    11,168.37/15,413.15 = 7,384.97/x
  3. Step 3: Cross multiply
    11,168.37x = 15,413.15 × 7,384.97
  4. Step 4: Simplify right side
    11,168.37x = 113,825,536.36
  5. Step 5: Solve for x
    x = 113,825,536.36/11,168.37
  6. Step 6: Final answer
    x = 10,191.78

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