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Finding the Fourth Proportional to 7,647.78, 11,472.23 and 2,648.09

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Solution

The fourth proportional to 7,647.78, 11,472.23 and 2,648.09 is: 3,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.78 : 11,472.23 = 2,648.09 : x
  2. Step 2: Convert to fraction form
    7,647.78/11,472.23 = 2,648.09/x
  3. Step 3: Cross multiply
    7,647.78x = 11,472.23 × 2,648.09
  4. Step 4: Simplify right side
    7,647.78x = 30,379,532.84
  5. Step 5: Solve for x
    x = 30,379,532.84/7,647.78
  6. Step 6: Final answer
    x = 3,972.33

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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.