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Finding the Fourth Proportional to 13,692, 20,535.94 and 3,830

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Solution

The fourth proportional to 13,692, 20,535.94 and 3,830 is: 5,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692 : 20,535.94 = 3,830 : x
  2. Step 2: Convert to fraction form
    13,692/20,535.94 = 3,830/x
  3. Step 3: Cross multiply
    13,692x = 20,535.94 × 3,830
  4. Step 4: Simplify right side
    13,692x = 78,652,650.20
  5. Step 5: Solve for x
    x = 78,652,650.20/13,692
  6. Step 6: Final answer
    x = 5,744.42

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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.