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Finding the Fourth Proportional to 7,288.60, 10,908.60 and 6,413.80

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Solution

The fourth proportional to 7,288.60, 10,908.60 and 6,413.80 is: 9,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.60 : 10,908.60 = 6,413.80 : x
  2. Step 2: Convert to fraction form
    7,288.60/10,908.60 = 6,413.80/x
  3. Step 3: Cross multiply
    7,288.60x = 10,908.60 × 6,413.80
  4. Step 4: Simplify right side
    7,288.60x = 69,965,578.68
  5. Step 5: Solve for x
    x = 69,965,578.68/7,288.60
  6. Step 6: Final answer
    x = 9,599.32

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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.