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Finding the Fourth Proportional to 9,419.44, 12,998.46 and 5,227.60

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Solution

The fourth proportional to 9,419.44, 12,998.46 and 5,227.60 is: 7,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.44 : 12,998.46 = 5,227.60 : x
  2. Step 2: Convert to fraction form
    9,419.44/12,998.46 = 5,227.60/x
  3. Step 3: Cross multiply
    9,419.44x = 12,998.46 × 5,227.60
  4. Step 4: Simplify right side
    9,419.44x = 67,950,749.50
  5. Step 5: Solve for x
    x = 67,950,749.50/9,419.44
  6. Step 6: Final answer
    x = 7,213.88

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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.