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Finding the Fourth Proportional to 12,224.69, 18,334.43 and 3,459.68

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Solution

The fourth proportional to 12,224.69, 18,334.43 and 3,459.68 is: 5,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.69 : 18,334.43 = 3,459.68 : x
  2. Step 2: Convert to fraction form
    12,224.69/18,334.43 = 3,459.68/x
  3. Step 3: Cross multiply
    12,224.69x = 18,334.43 × 3,459.68
  4. Step 4: Simplify right side
    12,224.69x = 63,431,243.48
  5. Step 5: Solve for x
    x = 63,431,243.48/12,224.69
  6. Step 6: Final answer
    x = 5,188.78

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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.