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Finding the Fourth Proportional to 20,616.12, 30,924.72 and 11,846.88

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Solution

The fourth proportional to 20,616.12, 30,924.72 and 11,846.88 is: 17,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.12 : 30,924.72 = 11,846.88 : x
  2. Step 2: Convert to fraction form
    20,616.12/30,924.72 = 11,846.88/x
  3. Step 3: Cross multiply
    20,616.12x = 30,924.72 × 11,846.88
  4. Step 4: Simplify right side
    20,616.12x = 366,361,446.87
  5. Step 5: Solve for x
    x = 366,361,446.87/20,616.12
  6. Step 6: Final answer
    x = 17,770.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.