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Finding the Fourth Proportional to 8,201.79, 12,308.56 and 2,936.79

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Solution

The fourth proportional to 8,201.79, 12,308.56 and 2,936.79 is: 4,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.79 : 12,308.56 = 2,936.79 : x
  2. Step 2: Convert to fraction form
    8,201.79/12,308.56 = 2,936.79/x
  3. Step 3: Cross multiply
    8,201.79x = 12,308.56 × 2,936.79
  4. Step 4: Simplify right side
    8,201.79x = 36,147,648.58
  5. Step 5: Solve for x
    x = 36,147,648.58/8,201.79
  6. Step 6: Final answer
    x = 4,407.29

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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.