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Finding the Fourth Proportional to 20,616.12, 30,928.39 and 8,769.87

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Solution

The fourth proportional to 20,616.12, 30,928.39 and 8,769.87 is: 13,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.12 : 30,928.39 = 8,769.87 : x
  2. Step 2: Convert to fraction form
    20,616.12/30,928.39 = 8,769.87/x
  3. Step 3: Cross multiply
    20,616.12x = 30,928.39 × 8,769.87
  4. Step 4: Simplify right side
    20,616.12x = 271,237,937.68
  5. Step 5: Solve for x
    x = 271,237,937.68/20,616.12
  6. Step 6: Final answer
    x = 13,156.59

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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.