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Finding the Fourth Proportional to 6,800, 9,383.74 and 3,815.76

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Solution

The fourth proportional to 6,800, 9,383.74 and 3,815.76 is: 5,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 9,383.74 = 3,815.76 : x
  2. Step 2: Convert to fraction form
    6,800/9,383.74 = 3,815.76/x
  3. Step 3: Cross multiply
    6,800x = 9,383.74 × 3,815.76
  4. Step 4: Simplify right side
    6,800x = 35,806,099.74
  5. Step 5: Solve for x
    x = 35,806,099.74/6,800
  6. Step 6: Final answer
    x = 5,265.60

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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.