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Finding the Fourth Proportional to 13,817.12, 19,067.76 and 8,227.04

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Solution

The fourth proportional to 13,817.12, 19,067.76 and 8,227.04 is: 11,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.12 : 19,067.76 = 8,227.04 : x
  2. Step 2: Convert to fraction form
    13,817.12/19,067.76 = 8,227.04/x
  3. Step 3: Cross multiply
    13,817.12x = 19,067.76 × 8,227.04
  4. Step 4: Simplify right side
    13,817.12x = 156,871,224.23
  5. Step 5: Solve for x
    x = 156,871,224.23/13,817.12
  6. Step 6: Final answer
    x = 11,353.40

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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.