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Finding the Fourth Proportional to 6,776.92, 10,162.28 and 3,079

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Solution

The fourth proportional to 6,776.92, 10,162.28 and 3,079 is: 4,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.92 : 10,162.28 = 3,079 : x
  2. Step 2: Convert to fraction form
    6,776.92/10,162.28 = 3,079/x
  3. Step 3: Cross multiply
    6,776.92x = 10,162.28 × 3,079
  4. Step 4: Simplify right side
    6,776.92x = 31,289,660.12
  5. Step 5: Solve for x
    x = 31,289,660.12/6,776.92
  6. Step 6: Final answer
    x = 4,617.09

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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.