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Finding the Fourth Proportional to 23,811, 32,861 and 13,202.68

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Solution

The fourth proportional to 23,811, 32,861 and 13,202.68 is: 18,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811 : 32,861 = 13,202.68 : x
  2. Step 2: Convert to fraction form
    23,811/32,861 = 13,202.68/x
  3. Step 3: Cross multiply
    23,811x = 32,861 × 13,202.68
  4. Step 4: Simplify right side
    23,811x = 433,853,267.48
  5. Step 5: Solve for x
    x = 433,853,267.48/23,811
  6. Step 6: Final answer
    x = 18,220.71

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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.