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Finding the Fourth Proportional to 11,739, 16,201.26 and 6,771

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Solution

The fourth proportional to 11,739, 16,201.26 and 6,771 is: 9,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739 : 16,201.26 = 6,771 : x
  2. Step 2: Convert to fraction form
    11,739/16,201.26 = 6,771/x
  3. Step 3: Cross multiply
    11,739x = 16,201.26 × 6,771
  4. Step 4: Simplify right side
    11,739x = 109,698,731.46
  5. Step 5: Solve for x
    x = 109,698,731.46/11,739
  6. Step 6: Final answer
    x = 9,344.81

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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.