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Finding the Fourth Proportional to 8,146.88, 12,201.17 and 3,973.81

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Solution

The fourth proportional to 8,146.88, 12,201.17 and 3,973.81 is: 5,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.88 : 12,201.17 = 3,973.81 : x
  2. Step 2: Convert to fraction form
    8,146.88/12,201.17 = 3,973.81/x
  3. Step 3: Cross multiply
    8,146.88x = 12,201.17 × 3,973.81
  4. Step 4: Simplify right side
    8,146.88x = 48,485,131.36
  5. Step 5: Solve for x
    x = 48,485,131.36/8,146.88
  6. Step 6: Final answer
    x = 5,951.38

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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.