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Finding the Fourth Proportional to 11,631, 16,043.94 and 6,915

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Solution

The fourth proportional to 11,631, 16,043.94 and 6,915 is: 9,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631 : 16,043.94 = 6,915 : x
  2. Step 2: Convert to fraction form
    11,631/16,043.94 = 6,915/x
  3. Step 3: Cross multiply
    11,631x = 16,043.94 × 6,915
  4. Step 4: Simplify right side
    11,631x = 110,943,845.10
  5. Step 5: Solve for x
    x = 110,943,845.10/11,631
  6. Step 6: Final answer
    x = 9,538.63

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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.