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Finding the Fourth Proportional to 7,629.75, 11,413.03 and 7,163.19

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Solution

The fourth proportional to 7,629.75, 11,413.03 and 7,163.19 is: 10,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.75 : 11,413.03 = 7,163.19 : x
  2. Step 2: Convert to fraction form
    7,629.75/11,413.03 = 7,163.19/x
  3. Step 3: Cross multiply
    7,629.75x = 11,413.03 × 7,163.19
  4. Step 4: Simplify right side
    7,629.75x = 81,753,702.37
  5. Step 5: Solve for x
    x = 81,753,702.37/7,629.75
  6. Step 6: Final answer
    x = 10,715.12

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1.5x scale

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.