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Finding the Fourth Proportional to 13,827.22, 20,724.42 and 7,971.73

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Solution

The fourth proportional to 13,827.22, 20,724.42 and 7,971.73 is: 11,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.22 : 20,724.42 = 7,971.73 : x
  2. Step 2: Convert to fraction form
    13,827.22/20,724.42 = 7,971.73/x
  3. Step 3: Cross multiply
    13,827.22x = 20,724.42 × 7,971.73
  4. Step 4: Simplify right side
    13,827.22x = 165,209,480.65
  5. Step 5: Solve for x
    x = 165,209,480.65/13,827.22
  6. Step 6: Final answer
    x = 11,948.13

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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.