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Finding the Fourth Proportional to 13,855.20, 20,782.92 and 3,994.50

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Solution

The fourth proportional to 13,855.20, 20,782.92 and 3,994.50 is: 5,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.20 : 20,782.92 = 3,994.50 : x
  2. Step 2: Convert to fraction form
    13,855.20/20,782.92 = 3,994.50/x
  3. Step 3: Cross multiply
    13,855.20x = 20,782.92 × 3,994.50
  4. Step 4: Simplify right side
    13,855.20x = 83,017,373.94
  5. Step 5: Solve for x
    x = 83,017,373.94/13,855.20
  6. Step 6: Final answer
    x = 5,991.78

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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.