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Finding the Fourth Proportional to 7,843.89, 11,755.45 and 3,676.43

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Solution

The fourth proportional to 7,843.89, 11,755.45 and 3,676.43 is: 5,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.89 : 11,755.45 = 3,676.43 : x
  2. Step 2: Convert to fraction form
    7,843.89/11,755.45 = 3,676.43/x
  3. Step 3: Cross multiply
    7,843.89x = 11,755.45 × 3,676.43
  4. Step 4: Simplify right side
    7,843.89x = 43,218,145.07
  5. Step 5: Solve for x
    x = 43,218,145.07/7,843.89
  6. Step 6: Final answer
    x = 5,509.78

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1.5x scale

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.