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Finding the Fourth Proportional to 13,026.22, 17,976.13 and 7,057.90

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Solution

The fourth proportional to 13,026.22, 17,976.13 and 7,057.90 is: 9,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.22 : 17,976.13 = 7,057.90 : x
  2. Step 2: Convert to fraction form
    13,026.22/17,976.13 = 7,057.90/x
  3. Step 3: Cross multiply
    13,026.22x = 17,976.13 × 7,057.90
  4. Step 4: Simplify right side
    13,026.22x = 126,873,732.75
  5. Step 5: Solve for x
    x = 126,873,732.75/13,026.22
  6. Step 6: Final answer
    x = 9,739.88

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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.