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Finding the Fourth Proportional to 8,517.91, 12,770.46 and 5,736.77

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Solution

The fourth proportional to 8,517.91, 12,770.46 and 5,736.77 is: 8,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.91 : 12,770.46 = 5,736.77 : x
  2. Step 2: Convert to fraction form
    8,517.91/12,770.46 = 5,736.77/x
  3. Step 3: Cross multiply
    8,517.91x = 12,770.46 × 5,736.77
  4. Step 4: Simplify right side
    8,517.91x = 73,261,191.81
  5. Step 5: Solve for x
    x = 73,261,191.81/8,517.91
  6. Step 6: Final answer
    x = 8,600.84

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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.