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Finding the Fourth Proportional to 7,663.94, 11,490.09 and 3,963.81

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Solution

The fourth proportional to 7,663.94, 11,490.09 and 3,963.81 is: 5,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.94 : 11,490.09 = 3,963.81 : x
  2. Step 2: Convert to fraction form
    7,663.94/11,490.09 = 3,963.81/x
  3. Step 3: Cross multiply
    7,663.94x = 11,490.09 × 3,963.81
  4. Step 4: Simplify right side
    7,663.94x = 45,544,561.87
  5. Step 5: Solve for x
    x = 45,544,561.87/7,663.94
  6. Step 6: Final answer
    x = 5,942.71

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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.