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Finding the Fourth Proportional to 13,845.61, 20,755.45 and 7,676.65

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Solution

The fourth proportional to 13,845.61, 20,755.45 and 7,676.65 is: 11,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.61 : 20,755.45 = 7,676.65 : x
  2. Step 2: Convert to fraction form
    13,845.61/20,755.45 = 7,676.65/x
  3. Step 3: Cross multiply
    13,845.61x = 20,755.45 × 7,676.65
  4. Step 4: Simplify right side
    13,845.61x = 159,332,183.08
  5. Step 5: Solve for x
    x = 159,332,183.08/13,845.61
  6. Step 6: Final answer
    x = 11,507.78

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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.