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Finding the Fourth Proportional to 6,800, 10,199.52 and 3,336

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Solution

The fourth proportional to 6,800, 10,199.52 and 3,336 is: 5,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 10,199.52 = 3,336 : x
  2. Step 2: Convert to fraction form
    6,800/10,199.52 = 3,336/x
  3. Step 3: Cross multiply
    6,800x = 10,199.52 × 3,336
  4. Step 4: Simplify right side
    6,800x = 34,025,598.72
  5. Step 5: Solve for x
    x = 34,025,598.72/6,800
  6. Step 6: Final answer
    x = 5,003.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.