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Finding the Fourth Proportional to 13,408.80, 20,094.39 and 11,424

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Solution

The fourth proportional to 13,408.80, 20,094.39 and 11,424 is: 17,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.80 : 20,094.39 = 11,424 : x
  2. Step 2: Convert to fraction form
    13,408.80/20,094.39 = 11,424/x
  3. Step 3: Cross multiply
    13,408.80x = 20,094.39 × 11,424
  4. Step 4: Simplify right side
    13,408.80x = 229,558,311.36
  5. Step 5: Solve for x
    x = 229,558,311.36/13,408.80
  6. Step 6: Final answer
    x = 17,119.97

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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.