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Finding the Fourth Proportional to 7,324.25, 10,986.39 and 3,431.39

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Solution

The fourth proportional to 7,324.25, 10,986.39 and 3,431.39 is: 5,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.25 : 10,986.39 = 3,431.39 : x
  2. Step 2: Convert to fraction form
    7,324.25/10,986.39 = 3,431.39/x
  3. Step 3: Cross multiply
    7,324.25x = 10,986.39 × 3,431.39
  4. Step 4: Simplify right side
    7,324.25x = 37,698,533.85
  5. Step 5: Solve for x
    x = 37,698,533.85/7,324.25
  6. Step 6: Final answer
    x = 5,147.09

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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.