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Finding the Fourth Proportional to 3,984.06, 5,945.96 and 3,880.38

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Solution

The fourth proportional to 3,984.06, 5,945.96 and 3,880.38 is: 5,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.06 : 5,945.96 = 3,880.38 : x
  2. Step 2: Convert to fraction form
    3,984.06/5,945.96 = 3,880.38/x
  3. Step 3: Cross multiply
    3,984.06x = 5,945.96 × 3,880.38
  4. Step 4: Simplify right side
    3,984.06x = 23,072,584.26
  5. Step 5: Solve for x
    x = 23,072,584.26/3,984.06
  6. Step 6: Final answer
    x = 5,791.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.