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Finding the Fourth Proportional to 7,756, 11,633.83 and 1,912.66

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Solution

The fourth proportional to 7,756, 11,633.83 and 1,912.66 is: 2,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 11,633.83 = 1,912.66 : x
  2. Step 2: Convert to fraction form
    7,756/11,633.83 = 1,912.66/x
  3. Step 3: Cross multiply
    7,756x = 11,633.83 × 1,912.66
  4. Step 4: Simplify right side
    7,756x = 22,251,561.29
  5. Step 5: Solve for x
    x = 22,251,561.29/7,756
  6. Step 6: Final answer
    x = 2,868.95

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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.