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Finding the Fourth Proportional to 8,243.14, 12,355.97 and 2,695

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Solution

The fourth proportional to 8,243.14, 12,355.97 and 2,695 is: 4,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.14 : 12,355.97 = 2,695 : x
  2. Step 2: Convert to fraction form
    8,243.14/12,355.97 = 2,695/x
  3. Step 3: Cross multiply
    8,243.14x = 12,355.97 × 2,695
  4. Step 4: Simplify right side
    8,243.14x = 33,299,339.15
  5. Step 5: Solve for x
    x = 33,299,339.15/8,243.14
  6. Step 6: Final answer
    x = 4,039.64

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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.