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Finding the Fourth Proportional to 8,186.40, 12,273.93 and 3,806.73

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Solution

The fourth proportional to 8,186.40, 12,273.93 and 3,806.73 is: 5,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.40 : 12,273.93 = 3,806.73 : x
  2. Step 2: Convert to fraction form
    8,186.40/12,273.93 = 3,806.73/x
  3. Step 3: Cross multiply
    8,186.40x = 12,273.93 × 3,806.73
  4. Step 4: Simplify right side
    8,186.40x = 46,723,537.55
  5. Step 5: Solve for x
    x = 46,723,537.55/8,186.40
  6. Step 6: Final answer
    x = 5,707.46

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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.