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Finding the Fourth Proportional to 7,231.69, 10,840.15 and 4,105.09

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Solution

The fourth proportional to 7,231.69, 10,840.15 and 4,105.09 is: 6,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.69 : 10,840.15 = 4,105.09 : x
  2. Step 2: Convert to fraction form
    7,231.69/10,840.15 = 4,105.09/x
  3. Step 3: Cross multiply
    7,231.69x = 10,840.15 × 4,105.09
  4. Step 4: Simplify right side
    7,231.69x = 44,499,791.36
  5. Step 5: Solve for x
    x = 44,499,791.36/7,231.69
  6. Step 6: Final answer
    x = 6,153.44

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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.