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Finding the Fourth Proportional to 20,517.93, 30,764.61 and 8,023.08

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Solution

The fourth proportional to 20,517.93, 30,764.61 and 8,023.08 is: 12,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.93 : 30,764.61 = 8,023.08 : x
  2. Step 2: Convert to fraction form
    20,517.93/30,764.61 = 8,023.08/x
  3. Step 3: Cross multiply
    20,517.93x = 30,764.61 × 8,023.08
  4. Step 4: Simplify right side
    20,517.93x = 246,826,927.20
  5. Step 5: Solve for x
    x = 246,826,927.20/20,517.93
  6. Step 6: Final answer
    x = 12,029.82

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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.