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Finding the Fourth Proportional to 20,171.92, 30,260.76 and 6,322

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Solution

The fourth proportional to 20,171.92, 30,260.76 and 6,322 is: 9,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.92 : 30,260.76 = 6,322 : x
  2. Step 2: Convert to fraction form
    20,171.92/30,260.76 = 6,322/x
  3. Step 3: Cross multiply
    20,171.92x = 30,260.76 × 6,322
  4. Step 4: Simplify right side
    20,171.92x = 191,308,524.72
  5. Step 5: Solve for x
    x = 191,308,524.72/20,171.92
  6. Step 6: Final answer
    x = 9,483.90

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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.