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Finding the Fourth Proportional to 7,321.72, 10,972.07 and 4,161.68

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Solution

The fourth proportional to 7,321.72, 10,972.07 and 4,161.68 is: 6,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.72 : 10,972.07 = 4,161.68 : x
  2. Step 2: Convert to fraction form
    7,321.72/10,972.07 = 4,161.68/x
  3. Step 3: Cross multiply
    7,321.72x = 10,972.07 × 4,161.68
  4. Step 4: Simplify right side
    7,321.72x = 45,662,244.28
  5. Step 5: Solve for x
    x = 45,662,244.28/7,321.72
  6. Step 6: Final answer
    x = 6,236.55

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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.