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Finding the Fourth Proportional to 6,759, 9,327.42 and 3,815

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Solution

The fourth proportional to 6,759, 9,327.42 and 3,815 is: 5,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759 : 9,327.42 = 3,815 : x
  2. Step 2: Convert to fraction form
    6,759/9,327.42 = 3,815/x
  3. Step 3: Cross multiply
    6,759x = 9,327.42 × 3,815
  4. Step 4: Simplify right side
    6,759x = 35,584,107.30
  5. Step 5: Solve for x
    x = 35,584,107.30/6,759
  6. Step 6: Final answer
    x = 5,264.70

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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.