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Finding the Fourth Proportional to 13,698, 20,544.92 and 3,836

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Solution

The fourth proportional to 13,698, 20,544.92 and 3,836 is: 5,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 20,544.92 = 3,836 : x
  2. Step 2: Convert to fraction form
    13,698/20,544.92 = 3,836/x
  3. Step 3: Cross multiply
    13,698x = 20,544.92 × 3,836
  4. Step 4: Simplify right side
    13,698x = 78,810,313.12
  5. Step 5: Solve for x
    x = 78,810,313.12/13,698
  6. Step 6: Final answer
    x = 5,753.42

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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.