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Finding the Fourth Proportional to 13,847.46, 20,771.12 and 3,459.22

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Solution

The fourth proportional to 13,847.46, 20,771.12 and 3,459.22 is: 5,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.46 : 20,771.12 = 3,459.22 : x
  2. Step 2: Convert to fraction form
    13,847.46/20,771.12 = 3,459.22/x
  3. Step 3: Cross multiply
    13,847.46x = 20,771.12 × 3,459.22
  4. Step 4: Simplify right side
    13,847.46x = 71,851,873.73
  5. Step 5: Solve for x
    x = 71,851,873.73/13,847.46
  6. Step 6: Final answer
    x = 5,188.81

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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.