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Finding the Fourth Proportional to 7,756, 11,634.26 and 3,076.88

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Solution

The fourth proportional to 7,756, 11,634.26 and 3,076.88 is: 4,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 11,634.26 = 3,076.88 : x
  2. Step 2: Convert to fraction form
    7,756/11,634.26 = 3,076.88/x
  3. Step 3: Cross multiply
    7,756x = 11,634.26 × 3,076.88
  4. Step 4: Simplify right side
    7,756x = 35,797,221.91
  5. Step 5: Solve for x
    x = 35,797,221.91/7,756
  6. Step 6: Final answer
    x = 4,615.42

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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.