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Finding the Fourth Proportional to 11,840.28, 16,339 and 6,801

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Solution

The fourth proportional to 11,840.28, 16,339 and 6,801 is: 9,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.28 : 16,339 = 6,801 : x
  2. Step 2: Convert to fraction form
    11,840.28/16,339 = 6,801/x
  3. Step 3: Cross multiply
    11,840.28x = 16,339 × 6,801
  4. Step 4: Simplify right side
    11,840.28x = 111,121,539
  5. Step 5: Solve for x
    x = 111,121,539/11,840.28
  6. Step 6: Final answer
    x = 9,385.04

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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.