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Finding the Fourth Proportional to 19,741, 27,242.58 and 10,909

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Solution

The fourth proportional to 19,741, 27,242.58 and 10,909 is: 15,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741 : 27,242.58 = 10,909 : x
  2. Step 2: Convert to fraction form
    19,741/27,242.58 = 10,909/x
  3. Step 3: Cross multiply
    19,741x = 27,242.58 × 10,909
  4. Step 4: Simplify right side
    19,741x = 297,189,305.22
  5. Step 5: Solve for x
    x = 297,189,305.22/19,741
  6. Step 6: Final answer
    x = 15,054.42

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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.