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Finding the Fourth Proportional to 8,166.92, 12,246.42 and 4,790.64

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Solution

The fourth proportional to 8,166.92, 12,246.42 and 4,790.64 is: 7,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.92 : 12,246.42 = 4,790.64 : x
  2. Step 2: Convert to fraction form
    8,166.92/12,246.42 = 4,790.64/x
  3. Step 3: Cross multiply
    8,166.92x = 12,246.42 × 4,790.64
  4. Step 4: Simplify right side
    8,166.92x = 58,668,104.32
  5. Step 5: Solve for x
    x = 58,668,104.32/8,166.92
  6. Step 6: Final answer
    x = 7,183.63

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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.