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Finding the Fourth Proportional to 8,771.63, 13,163.58 and 3,842.78

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Solution

The fourth proportional to 8,771.63, 13,163.58 and 3,842.78 is: 5,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.63 : 13,163.58 = 3,842.78 : x
  2. Step 2: Convert to fraction form
    8,771.63/13,163.58 = 3,842.78/x
  3. Step 3: Cross multiply
    8,771.63x = 13,163.58 × 3,842.78
  4. Step 4: Simplify right side
    8,771.63x = 50,584,676.13
  5. Step 5: Solve for x
    x = 50,584,676.13/8,771.63
  6. Step 6: Final answer
    x = 5,766.85

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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.