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Finding the Fourth Proportional to 18,561, 25,614.26 and 11,109

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Solution

The fourth proportional to 18,561, 25,614.26 and 11,109 is: 15,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 25,614.26 = 11,109 : x
  2. Step 2: Convert to fraction form
    18,561/25,614.26 = 11,109/x
  3. Step 3: Cross multiply
    18,561x = 25,614.26 × 11,109
  4. Step 4: Simplify right side
    18,561x = 284,548,814.34
  5. Step 5: Solve for x
    x = 284,548,814.34/18,561
  6. Step 6: Final answer
    x = 15,330.47

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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.