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Finding the Fourth Proportional to 8,517.86, 12,777.06 and 2,971.79

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Solution

The fourth proportional to 8,517.86, 12,777.06 and 2,971.79 is: 4,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.86 : 12,777.06 = 2,971.79 : x
  2. Step 2: Convert to fraction form
    8,517.86/12,777.06 = 2,971.79/x
  3. Step 3: Cross multiply
    8,517.86x = 12,777.06 × 2,971.79
  4. Step 4: Simplify right side
    8,517.86x = 37,970,739.14
  5. Step 5: Solve for x
    x = 37,970,739.14/8,517.86
  6. Step 6: Final answer
    x = 4,457.78

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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.