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Finding the Fourth Proportional to 8,164.97, 12,246.02 and 3,721.64

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Solution

The fourth proportional to 8,164.97, 12,246.02 and 3,721.64 is: 5,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.97 : 12,246.02 = 3,721.64 : x
  2. Step 2: Convert to fraction form
    8,164.97/12,246.02 = 3,721.64/x
  3. Step 3: Cross multiply
    8,164.97x = 12,246.02 × 3,721.64
  4. Step 4: Simplify right side
    8,164.97x = 45,575,289.88
  5. Step 5: Solve for x
    x = 45,575,289.88/8,164.97
  6. Step 6: Final answer
    x = 5,581.81

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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.