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Finding the Fourth Proportional to 13,606, 20,408.04 and 6,678

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Solution

The fourth proportional to 13,606, 20,408.04 and 6,678 is: 10,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606 : 20,408.04 = 6,678 : x
  2. Step 2: Convert to fraction form
    13,606/20,408.04 = 6,678/x
  3. Step 3: Cross multiply
    13,606x = 20,408.04 × 6,678
  4. Step 4: Simplify right side
    13,606x = 136,284,891.12
  5. Step 5: Solve for x
    x = 136,284,891.12/13,606
  6. Step 6: Final answer
    x = 10,016.53

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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.