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Finding the Fourth Proportional to 11,311.80, 16,945.02 and 5,394.43

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Solution

The fourth proportional to 11,311.80, 16,945.02 and 5,394.43 is: 8,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.80 : 16,945.02 = 5,394.43 : x
  2. Step 2: Convert to fraction form
    11,311.80/16,945.02 = 5,394.43/x
  3. Step 3: Cross multiply
    11,311.80x = 16,945.02 × 5,394.43
  4. Step 4: Simplify right side
    11,311.80x = 91,408,724.24
  5. Step 5: Solve for x
    x = 91,408,724.24/11,311.80
  6. Step 6: Final answer
    x = 8,080.83

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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.