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Finding the Fourth Proportional to 21,872, 30,183.36 and 13,493.36

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Solution

The fourth proportional to 21,872, 30,183.36 and 13,493.36 is: 18,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872 : 30,183.36 = 13,493.36 : x
  2. Step 2: Convert to fraction form
    21,872/30,183.36 = 13,493.36/x
  3. Step 3: Cross multiply
    21,872x = 30,183.36 × 13,493.36
  4. Step 4: Simplify right side
    21,872x = 407,274,942.49
  5. Step 5: Solve for x
    x = 407,274,942.49/21,872
  6. Step 6: Final answer
    x = 18,620.84

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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.