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Finding the Fourth Proportional to 19,861.31, 27,408.80 and 10,909

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Solution

The fourth proportional to 19,861.31, 27,408.80 and 10,909 is: 15,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.31 : 27,408.80 = 10,909 : x
  2. Step 2: Convert to fraction form
    19,861.31/27,408.80 = 10,909/x
  3. Step 3: Cross multiply
    19,861.31x = 27,408.80 × 10,909
  4. Step 4: Simplify right side
    19,861.31x = 299,002,599.20
  5. Step 5: Solve for x
    x = 299,002,599.20/19,861.31
  6. Step 6: Final answer
    x = 15,054.53

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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.