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Finding the Fourth Proportional to 13,027.41, 17,971.20 and 8,239.28

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Solution

The fourth proportional to 13,027.41, 17,971.20 and 8,239.28 is: 11,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.41 : 17,971.20 = 8,239.28 : x
  2. Step 2: Convert to fraction form
    13,027.41/17,971.20 = 8,239.28/x
  3. Step 3: Cross multiply
    13,027.41x = 17,971.20 × 8,239.28
  4. Step 4: Simplify right side
    13,027.41x = 148,069,793.66
  5. Step 5: Solve for x
    x = 148,069,793.66/13,027.41
  6. Step 6: Final answer
    x = 11,366.02

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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.