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Finding the Fourth Proportional to 6,643.87, 9,960.15 and 2,944.08

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Solution

The fourth proportional to 6,643.87, 9,960.15 and 2,944.08 is: 4,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.87 : 9,960.15 = 2,944.08 : x
  2. Step 2: Convert to fraction form
    6,643.87/9,960.15 = 2,944.08/x
  3. Step 3: Cross multiply
    6,643.87x = 9,960.15 × 2,944.08
  4. Step 4: Simplify right side
    6,643.87x = 29,323,471.05
  5. Step 5: Solve for x
    x = 29,323,471.05/6,643.87
  6. Step 6: Final answer
    x = 4,413.61

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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.