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Finding the Fourth Proportional to 6,843.70, 10,257.04 and 3,142

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Solution

The fourth proportional to 6,843.70, 10,257.04 and 3,142 is: 4,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.70 : 10,257.04 = 3,142 : x
  2. Step 2: Convert to fraction form
    6,843.70/10,257.04 = 3,142/x
  3. Step 3: Cross multiply
    6,843.70x = 10,257.04 × 3,142
  4. Step 4: Simplify right side
    6,843.70x = 32,227,619.68
  5. Step 5: Solve for x
    x = 32,227,619.68/6,843.70
  6. Step 6: Final answer
    x = 4,709.09

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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.