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Finding the Fourth Proportional to 7,183.92, 10,778.82 and 3,893.16

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Solution

The fourth proportional to 7,183.92, 10,778.82 and 3,893.16 is: 5,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.92 : 10,778.82 = 3,893.16 : x
  2. Step 2: Convert to fraction form
    7,183.92/10,778.82 = 3,893.16/x
  3. Step 3: Cross multiply
    7,183.92x = 10,778.82 × 3,893.16
  4. Step 4: Simplify right side
    7,183.92x = 41,963,670.87
  5. Step 5: Solve for x
    x = 41,963,670.87/7,183.92
  6. Step 6: Final answer
    x = 5,841.33

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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.