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Finding the Fourth Proportional to 13,194.17, 18,207.63 and 7,226.09

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Solution

The fourth proportional to 13,194.17, 18,207.63 and 7,226.09 is: 9,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.17 : 18,207.63 = 7,226.09 : x
  2. Step 2: Convert to fraction form
    13,194.17/18,207.63 = 7,226.09/x
  3. Step 3: Cross multiply
    13,194.17x = 18,207.63 × 7,226.09
  4. Step 4: Simplify right side
    13,194.17x = 131,569,973.07
  5. Step 5: Solve for x
    x = 131,569,973.07/13,194.17
  6. Step 6: Final answer
    x = 9,971.83

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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.