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Finding the Fourth Proportional to 13,997.36, 20,996.81 and 5,676.14

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Solution

The fourth proportional to 13,997.36, 20,996.81 and 5,676.14 is: 8,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.36 : 20,996.81 = 5,676.14 : x
  2. Step 2: Convert to fraction form
    13,997.36/20,996.81 = 5,676.14/x
  3. Step 3: Cross multiply
    13,997.36x = 20,996.81 × 5,676.14
  4. Step 4: Simplify right side
    13,997.36x = 119,180,804.73
  5. Step 5: Solve for x
    x = 119,180,804.73/13,997.36
  6. Step 6: Final answer
    x = 8,514.52

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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.