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Finding the Fourth Proportional to 8,166.87, 11,270.97 and 4,631.22

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Solution

The fourth proportional to 8,166.87, 11,270.97 and 4,631.22 is: 6,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.87 : 11,270.97 = 4,631.22 : x
  2. Step 2: Convert to fraction form
    8,166.87/11,270.97 = 4,631.22/x
  3. Step 3: Cross multiply
    8,166.87x = 11,270.97 × 4,631.22
  4. Step 4: Simplify right side
    8,166.87x = 52,198,341.68
  5. Step 5: Solve for x
    x = 52,198,341.68/8,166.87
  6. Step 6: Final answer
    x = 6,391.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.