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Finding the Fourth Proportional to 7,677, 11,519.97 and 2,996.76

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Solution

The fourth proportional to 7,677, 11,519.97 and 2,996.76 is: 4,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 11,519.97 = 2,996.76 : x
  2. Step 2: Convert to fraction form
    7,677/11,519.97 = 2,996.76/x
  3. Step 3: Cross multiply
    7,677x = 11,519.97 × 2,996.76
  4. Step 4: Simplify right side
    7,677x = 34,522,585.30
  5. Step 5: Solve for x
    x = 34,522,585.30/7,677
  6. Step 6: Final answer
    x = 4,496.88

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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.