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Finding the Fourth Proportional to 8,290.49, 12,437.79 and 3,906.92

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Solution

The fourth proportional to 8,290.49, 12,437.79 and 3,906.92 is: 5,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.49 : 12,437.79 = 3,906.92 : x
  2. Step 2: Convert to fraction form
    8,290.49/12,437.79 = 3,906.92/x
  3. Step 3: Cross multiply
    8,290.49x = 12,437.79 × 3,906.92
  4. Step 4: Simplify right side
    8,290.49x = 48,593,450.51
  5. Step 5: Solve for x
    x = 48,593,450.51/8,290.49
  6. Step 6: Final answer
    x = 5,861.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.