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Finding the Fourth Proportional to 11,631, 16,053.12 and 6,663

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Solution

The fourth proportional to 11,631, 16,053.12 and 6,663 is: 9,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631 : 16,053.12 = 6,663 : x
  2. Step 2: Convert to fraction form
    11,631/16,053.12 = 6,663/x
  3. Step 3: Cross multiply
    11,631x = 16,053.12 × 6,663
  4. Step 4: Simplify right side
    11,631x = 106,961,938.56
  5. Step 5: Solve for x
    x = 106,961,938.56/11,631
  6. Step 6: Final answer
    x = 9,196.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.