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Finding the Fourth Proportional to 6,807.68, 10,213.14 and 2,647.79

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Solution

The fourth proportional to 6,807.68, 10,213.14 and 2,647.79 is: 3,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.68 : 10,213.14 = 2,647.79 : x
  2. Step 2: Convert to fraction form
    6,807.68/10,213.14 = 2,647.79/x
  3. Step 3: Cross multiply
    6,807.68x = 10,213.14 × 2,647.79
  4. Step 4: Simplify right side
    6,807.68x = 27,042,249.96
  5. Step 5: Solve for x
    x = 27,042,249.96/6,807.68
  6. Step 6: Final answer
    x = 3,972.32

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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.