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Finding the Fourth Proportional to 13,422, 18,522.61 and 7,454.22

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Solution

The fourth proportional to 13,422, 18,522.61 and 7,454.22 is: 10,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422 : 18,522.61 = 7,454.22 : x
  2. Step 2: Convert to fraction form
    13,422/18,522.61 = 7,454.22/x
  3. Step 3: Cross multiply
    13,422x = 18,522.61 × 7,454.22
  4. Step 4: Simplify right side
    13,422x = 138,071,572.64
  5. Step 5: Solve for x
    x = 138,071,572.64/13,422
  6. Step 6: Final answer
    x = 10,286.96

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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.