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Finding the Fourth Proportional to 20,864, 28,793.60 and 12,032

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Solution

The fourth proportional to 20,864, 28,793.60 and 12,032 is: 16,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864 : 28,793.60 = 12,032 : x
  2. Step 2: Convert to fraction form
    20,864/28,793.60 = 12,032/x
  3. Step 3: Cross multiply
    20,864x = 28,793.60 × 12,032
  4. Step 4: Simplify right side
    20,864x = 346,444,595.20
  5. Step 5: Solve for x
    x = 346,444,595.20/20,864
  6. Step 6: Final answer
    x = 16,604.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.