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Finding the Fourth Proportional to 9,163.60, 13,745.40 and 7,627.60

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Solution

The fourth proportional to 9,163.60, 13,745.40 and 7,627.60 is: 11,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.60 : 13,745.40 = 7,627.60 : x
  2. Step 2: Convert to fraction form
    9,163.60/13,745.40 = 7,627.60/x
  3. Step 3: Cross multiply
    9,163.60x = 13,745.40 × 7,627.60
  4. Step 4: Simplify right side
    9,163.60x = 104,844,413.04
  5. Step 5: Solve for x
    x = 104,844,413.04/9,163.60
  6. Step 6: Final answer
    x = 11,441.40

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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.