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Finding the Fourth Proportional to 6,469.66, 9,699.90 and 3,179.26

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Solution

The fourth proportional to 6,469.66, 9,699.90 and 3,179.26 is: 4,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.66 : 9,699.90 = 3,179.26 : x
  2. Step 2: Convert to fraction form
    6,469.66/9,699.90 = 3,179.26/x
  3. Step 3: Cross multiply
    6,469.66x = 9,699.90 × 3,179.26
  4. Step 4: Simplify right side
    6,469.66x = 30,838,504.07
  5. Step 5: Solve for x
    x = 30,838,504.07/6,469.66
  6. Step 6: Final answer
    x = 4,766.63

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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.