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Finding the Fourth Proportional to 11,769, 16,242.66 and 6,801

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Solution

The fourth proportional to 11,769, 16,242.66 and 6,801 is: 9,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769 : 16,242.66 = 6,801 : x
  2. Step 2: Convert to fraction form
    11,769/16,242.66 = 6,801/x
  3. Step 3: Cross multiply
    11,769x = 16,242.66 × 6,801
  4. Step 4: Simplify right side
    11,769x = 110,466,330.66
  5. Step 5: Solve for x
    x = 110,466,330.66/11,769
  6. Step 6: Final answer
    x = 9,386.21

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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.