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Finding the Fourth Proportional to 8,179.66, 12,268.86 and 2,914.47

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Solution

The fourth proportional to 8,179.66, 12,268.86 and 2,914.47 is: 4,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.66 : 12,268.86 = 2,914.47 : x
  2. Step 2: Convert to fraction form
    8,179.66/12,268.86 = 2,914.47/x
  3. Step 3: Cross multiply
    8,179.66x = 12,268.86 × 2,914.47
  4. Step 4: Simplify right side
    8,179.66x = 35,757,224.40
  5. Step 5: Solve for x
    x = 35,757,224.40/8,179.66
  6. Step 6: Final answer
    x = 4,371.48

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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.