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Finding the Fourth Proportional to 13,844.96, 20,732.69 and 8,558.22

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Solution

The fourth proportional to 13,844.96, 20,732.69 and 8,558.22 is: 12,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.96 : 20,732.69 = 8,558.22 : x
  2. Step 2: Convert to fraction form
    13,844.96/20,732.69 = 8,558.22/x
  3. Step 3: Cross multiply
    13,844.96x = 20,732.69 × 8,558.22
  4. Step 4: Simplify right side
    13,844.96x = 177,435,021.35
  5. Step 5: Solve for x
    x = 177,435,021.35/13,844.96
  6. Step 6: Final answer
    x = 12,815.86

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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.