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Finding the Fourth Proportional to 6,856.81, 10,286 and 2,696.26

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Solution

The fourth proportional to 6,856.81, 10,286 and 2,696.26 is: 4,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.81 : 10,286 = 2,696.26 : x
  2. Step 2: Convert to fraction form
    6,856.81/10,286 = 2,696.26/x
  3. Step 3: Cross multiply
    6,856.81x = 10,286 × 2,696.26
  4. Step 4: Simplify right side
    6,856.81x = 27,733,730.36
  5. Step 5: Solve for x
    x = 27,733,730.36/6,856.81
  6. Step 6: Final answer
    x = 4,044.70

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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.