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Finding the Fourth Proportional to 8,615.31, 12,922.94 and 2,771.92

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Solution

The fourth proportional to 8,615.31, 12,922.94 and 2,771.92 is: 4,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.31 : 12,922.94 = 2,771.92 : x
  2. Step 2: Convert to fraction form
    8,615.31/12,922.94 = 2,771.92/x
  3. Step 3: Cross multiply
    8,615.31x = 12,922.94 × 2,771.92
  4. Step 4: Simplify right side
    8,615.31x = 35,821,277.37
  5. Step 5: Solve for x
    x = 35,821,277.37/8,615.31
  6. Step 6: Final answer
    x = 4,157.87

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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.