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Finding the Fourth Proportional to 7,663.66, 11,489.66 and 3,963.53

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Solution

The fourth proportional to 7,663.66, 11,489.66 and 3,963.53 is: 5,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.66 : 11,489.66 = 3,963.53 : x
  2. Step 2: Convert to fraction form
    7,663.66/11,489.66 = 3,963.53/x
  3. Step 3: Cross multiply
    7,663.66x = 11,489.66 × 3,963.53
  4. Step 4: Simplify right side
    7,663.66x = 45,539,592.78
  5. Step 5: Solve for x
    x = 45,539,592.78/7,663.66
  6. Step 6: Final answer
    x = 5,942.28

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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.