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Finding the Fourth Proportional to 11,413.60, 17,091.24 and 10,111.12

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Solution

The fourth proportional to 11,413.60, 17,091.24 and 10,111.12 is: 15,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.60 : 17,091.24 = 10,111.12 : x
  2. Step 2: Convert to fraction form
    11,413.60/17,091.24 = 10,111.12/x
  3. Step 3: Cross multiply
    11,413.60x = 17,091.24 × 10,111.12
  4. Step 4: Simplify right side
    11,413.60x = 172,811,578.59
  5. Step 5: Solve for x
    x = 172,811,578.59/11,413.60
  6. Step 6: Final answer
    x = 15,140.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.