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Finding the Fourth Proportional to 20,536, 30,805.48 and 8,224

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Solution

The fourth proportional to 20,536, 30,805.48 and 8,224 is: 12,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536 : 30,805.48 = 8,224 : x
  2. Step 2: Convert to fraction form
    20,536/30,805.48 = 8,224/x
  3. Step 3: Cross multiply
    20,536x = 30,805.48 × 8,224
  4. Step 4: Simplify right side
    20,536x = 253,344,267.52
  5. Step 5: Solve for x
    x = 253,344,267.52/20,536
  6. Step 6: Final answer
    x = 12,336.59

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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.