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Finding the Fourth Proportional to 13,027.56, 17,976.12 and 7,647.96

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Solution

The fourth proportional to 13,027.56, 17,976.12 and 7,647.96 is: 10,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.56 : 17,976.12 = 7,647.96 : x
  2. Step 2: Convert to fraction form
    13,027.56/17,976.12 = 7,647.96/x
  3. Step 3: Cross multiply
    13,027.56x = 17,976.12 × 7,647.96
  4. Step 4: Simplify right side
    13,027.56x = 137,480,646.72
  5. Step 5: Solve for x
    x = 137,480,646.72/13,027.56
  6. Step 6: Final answer
    x = 10,553.06

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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.