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Finding the Fourth Proportional to 7,647.86, 11,469.03 and 2,648.88

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Solution

The fourth proportional to 7,647.86, 11,469.03 and 2,648.88 is: 3,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.86 : 11,469.03 = 2,648.88 : x
  2. Step 2: Convert to fraction form
    7,647.86/11,469.03 = 2,648.88/x
  3. Step 3: Cross multiply
    7,647.86x = 11,469.03 × 2,648.88
  4. Step 4: Simplify right side
    7,647.86x = 30,380,084.19
  5. Step 5: Solve for x
    x = 30,380,084.19/7,647.86
  6. Step 6: Final answer
    x = 3,972.36

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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.