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Finding the Fourth Proportional to 11,644, 16,068.80 and 6,338.80

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Solution

The fourth proportional to 11,644, 16,068.80 and 6,338.80 is: 8,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 16,068.80 = 6,338.80 : x
  2. Step 2: Convert to fraction form
    11,644/16,068.80 = 6,338.80/x
  3. Step 3: Cross multiply
    11,644x = 16,068.80 × 6,338.80
  4. Step 4: Simplify right side
    11,644x = 101,856,909.44
  5. Step 5: Solve for x
    x = 101,856,909.44/11,644
  6. Step 6: Final answer
    x = 8,747.59

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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.