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Finding the Fourth Proportional to 11,672.87, 16,109.01 and 6,367.91

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Solution

The fourth proportional to 11,672.87, 16,109.01 and 6,367.91 is: 8,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.87 : 16,109.01 = 6,367.91 : x
  2. Step 2: Convert to fraction form
    11,672.87/16,109.01 = 6,367.91/x
  3. Step 3: Cross multiply
    11,672.87x = 16,109.01 × 6,367.91
  4. Step 4: Simplify right side
    11,672.87x = 102,580,645.32
  5. Step 5: Solve for x
    x = 102,580,645.32/11,672.87
  6. Step 6: Final answer
    x = 8,787.96

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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.