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Finding the Fourth Proportional to 11,682, 16,120.56 and 6,375.80

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Solution

The fourth proportional to 11,682, 16,120.56 and 6,375.80 is: 8,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 16,120.56 = 6,375.80 : x
  2. Step 2: Convert to fraction form
    11,682/16,120.56 = 6,375.80/x
  3. Step 3: Cross multiply
    11,682x = 16,120.56 × 6,375.80
  4. Step 4: Simplify right side
    11,682x = 102,781,385.85
  5. Step 5: Solve for x
    x = 102,781,385.85/11,682
  6. Step 6: Final answer
    x = 8,798.27

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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.