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Finding the Fourth Proportional to 13,797, 20,692.08 and 3,936.36

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Solution

The fourth proportional to 13,797, 20,692.08 and 3,936.36 is: 5,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 20,692.08 = 3,936.36 : x
  2. Step 2: Convert to fraction form
    13,797/20,692.08 = 3,936.36/x
  3. Step 3: Cross multiply
    13,797x = 20,692.08 × 3,936.36
  4. Step 4: Simplify right side
    13,797x = 81,451,476.03
  5. Step 5: Solve for x
    x = 81,451,476.03/13,797
  6. Step 6: Final answer
    x = 5,903.56

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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.