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Finding the Fourth Proportional to 8,651.38, 12,971.15 and 3,104.60

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Solution

The fourth proportional to 8,651.38, 12,971.15 and 3,104.60 is: 4,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.38 : 12,971.15 = 3,104.60 : x
  2. Step 2: Convert to fraction form
    8,651.38/12,971.15 = 3,104.60/x
  3. Step 3: Cross multiply
    8,651.38x = 12,971.15 × 3,104.60
  4. Step 4: Simplify right side
    8,651.38x = 40,270,232.29
  5. Step 5: Solve for x
    x = 40,270,232.29/8,651.38
  6. Step 6: Final answer
    x = 4,654.78

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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.