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Finding the Fourth Proportional to 9,414.43, 12,991.92 and 5,222.68

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Solution

The fourth proportional to 9,414.43, 12,991.92 and 5,222.68 is: 7,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.43 : 12,991.92 = 5,222.68 : x
  2. Step 2: Convert to fraction form
    9,414.43/12,991.92 = 5,222.68/x
  3. Step 3: Cross multiply
    9,414.43x = 12,991.92 × 5,222.68
  4. Step 4: Simplify right side
    9,414.43x = 67,852,588.68
  5. Step 5: Solve for x
    x = 67,852,588.68/9,414.43
  6. Step 6: Final answer
    x = 7,207.30

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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.