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Finding the Fourth Proportional to 22,164.80, 30,583.25 and 13,213.14

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Solution

The fourth proportional to 22,164.80, 30,583.25 and 13,213.14 is: 18,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.80 : 30,583.25 = 13,213.14 : x
  2. Step 2: Convert to fraction form
    22,164.80/30,583.25 = 13,213.14/x
  3. Step 3: Cross multiply
    22,164.80x = 30,583.25 × 13,213.14
  4. Step 4: Simplify right side
    22,164.80x = 404,100,697.84
  5. Step 5: Solve for x
    x = 404,100,697.84/22,164.80
  6. Step 6: Final answer
    x = 18,231.65

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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.