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Finding the Fourth Proportional to 6,801, 9,385.64 and 3,967.94

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Solution

The fourth proportional to 6,801, 9,385.64 and 3,967.94 is: 5,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801 : 9,385.64 = 3,967.94 : x
  2. Step 2: Convert to fraction form
    6,801/9,385.64 = 3,967.94/x
  3. Step 3: Cross multiply
    6,801x = 9,385.64 × 3,967.94
  4. Step 4: Simplify right side
    6,801x = 37,241,589.61
  5. Step 5: Solve for x
    x = 37,241,589.61/6,801
  6. Step 6: Final answer
    x = 5,475.90

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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.