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Finding the Fourth Proportional to 11,969.55, 17,957.94 and 5,393.97

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Solution

The fourth proportional to 11,969.55, 17,957.94 and 5,393.97 is: 8,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.55 : 17,957.94 = 5,393.97 : x
  2. Step 2: Convert to fraction form
    11,969.55/17,957.94 = 5,393.97/x
  3. Step 3: Cross multiply
    11,969.55x = 17,957.94 × 5,393.97
  4. Step 4: Simplify right side
    11,969.55x = 96,864,589.62
  5. Step 5: Solve for x
    x = 96,864,589.62/11,969.55
  6. Step 6: Final answer
    x = 8,092.58

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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.