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Finding the Fourth Proportional to 8,496.44, 11,722.38 and 4,769.72

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Solution

The fourth proportional to 8,496.44, 11,722.38 and 4,769.72 is: 6,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.44 : 11,722.38 = 4,769.72 : x
  2. Step 2: Convert to fraction form
    8,496.44/11,722.38 = 4,769.72/x
  3. Step 3: Cross multiply
    8,496.44x = 11,722.38 × 4,769.72
  4. Step 4: Simplify right side
    8,496.44x = 55,912,470.33
  5. Step 5: Solve for x
    x = 55,912,470.33/8,496.44
  6. Step 6: Final answer
    x = 6,580.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.