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Finding the Fourth Proportional to 6,662.40, 9,999.78 and 3,377.82

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Solution

The fourth proportional to 6,662.40, 9,999.78 and 3,377.82 is: 5,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.40 : 9,999.78 = 3,377.82 : x
  2. Step 2: Convert to fraction form
    6,662.40/9,999.78 = 3,377.82/x
  3. Step 3: Cross multiply
    6,662.40x = 9,999.78 × 3,377.82
  4. Step 4: Simplify right side
    6,662.40x = 33,777,456.88
  5. Step 5: Solve for x
    x = 33,777,456.88/6,662.40
  6. Step 6: Final answer
    x = 5,069.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.