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Finding the Fourth Proportional to 8,771.25, 13,157.76 and 2,847.89

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Solution

The fourth proportional to 8,771.25, 13,157.76 and 2,847.89 is: 4,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.25 : 13,157.76 = 2,847.89 : x
  2. Step 2: Convert to fraction form
    8,771.25/13,157.76 = 2,847.89/x
  3. Step 3: Cross multiply
    8,771.25x = 13,157.76 × 2,847.89
  4. Step 4: Simplify right side
    8,771.25x = 37,471,836.68
  5. Step 5: Solve for x
    x = 37,471,836.68/8,771.25
  6. Step 6: Final answer
    x = 4,272.12

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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.