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Finding the Fourth Proportional to 20,589, 30,924.83 and 12,285.22

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Solution

The fourth proportional to 20,589, 30,924.83 and 12,285.22 is: 18,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 30,924.83 = 12,285.22 : x
  2. Step 2: Convert to fraction form
    20,589/30,924.83 = 12,285.22/x
  3. Step 3: Cross multiply
    20,589x = 30,924.83 × 12,285.22
  4. Step 4: Simplify right side
    20,589x = 379,918,340.01
  5. Step 5: Solve for x
    x = 379,918,340.01/20,589
  6. Step 6: Final answer
    x = 18,452.49

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1.5x scale

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.