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Finding the Fourth Proportional to 20,530.56, 30,793.41 and 8,059.80

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Solution

The fourth proportional to 20,530.56, 30,793.41 and 8,059.80 is: 12,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.56 : 30,793.41 = 8,059.80 : x
  2. Step 2: Convert to fraction form
    20,530.56/30,793.41 = 8,059.80/x
  3. Step 3: Cross multiply
    20,530.56x = 30,793.41 × 8,059.80
  4. Step 4: Simplify right side
    20,530.56x = 248,188,725.92
  5. Step 5: Solve for x
    x = 248,188,725.92/20,530.56
  6. Step 6: Final answer
    x = 12,088.75

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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.