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Finding the Fourth Proportional to 13,662.80, 20,503.80 and 5,877.20

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Solution

The fourth proportional to 13,662.80, 20,503.80 and 5,877.20 is: 8,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.80 : 20,503.80 = 5,877.20 : x
  2. Step 2: Convert to fraction form
    13,662.80/20,503.80 = 5,877.20/x
  3. Step 3: Cross multiply
    13,662.80x = 20,503.80 × 5,877.20
  4. Step 4: Simplify right side
    13,662.80x = 120,504,933.36
  5. Step 5: Solve for x
    x = 120,504,933.36/13,662.80
  6. Step 6: Final answer
    x = 8,819.93

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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.