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Finding the Fourth Proportional to 20,192, 30,267.84 and 8,511.68

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Solution

The fourth proportional to 20,192, 30,267.84 and 8,511.68 is: 12,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 30,267.84 = 8,511.68 : x
  2. Step 2: Convert to fraction form
    20,192/30,267.84 = 8,511.68/x
  3. Step 3: Cross multiply
    20,192x = 30,267.84 × 8,511.68
  4. Step 4: Simplify right side
    20,192x = 257,630,168.37
  5. Step 5: Solve for x
    x = 257,630,168.37/20,192
  6. Step 6: Final answer
    x = 12,759.02

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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.