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Finding the Fourth Proportional to 20,501.08, 30,755.94 and 6,649

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Solution

The fourth proportional to 20,501.08, 30,755.94 and 6,649 is: 9,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.08 : 30,755.94 = 6,649 : x
  2. Step 2: Convert to fraction form
    20,501.08/30,755.94 = 6,649/x
  3. Step 3: Cross multiply
    20,501.08x = 30,755.94 × 6,649
  4. Step 4: Simplify right side
    20,501.08x = 204,496,245.06
  5. Step 5: Solve for x
    x = 204,496,245.06/20,501.08
  6. Step 6: Final answer
    x = 9,974.90

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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.