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Finding the Fourth Proportional to 7,647.65, 11,469.09 and 3,696.45

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Solution

The fourth proportional to 7,647.65, 11,469.09 and 3,696.45 is: 5,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.65 : 11,469.09 = 3,696.45 : x
  2. Step 2: Convert to fraction form
    7,647.65/11,469.09 = 3,696.45/x
  3. Step 3: Cross multiply
    7,647.65x = 11,469.09 × 3,696.45
  4. Step 4: Simplify right side
    7,647.65x = 42,394,917.73
  5. Step 5: Solve for x
    x = 42,394,917.73/7,647.65
  6. Step 6: Final answer
    x = 5,543.53

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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.