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Finding the Fourth Proportional to 7,676.82, 11,489.31 and 4,757.58

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Solution

The fourth proportional to 7,676.82, 11,489.31 and 4,757.58 is: 7,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.82 : 11,489.31 = 4,757.58 : x
  2. Step 2: Convert to fraction form
    7,676.82/11,489.31 = 4,757.58/x
  3. Step 3: Cross multiply
    7,676.82x = 11,489.31 × 4,757.58
  4. Step 4: Simplify right side
    7,676.82x = 54,661,311.47
  5. Step 5: Solve for x
    x = 54,661,311.47/7,676.82
  6. Step 6: Final answer
    x = 7,120.31

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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.