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Finding the Fourth Proportional to 12,164.21, 16,786.61 and 6,575.21

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Solution

The fourth proportional to 12,164.21, 16,786.61 and 6,575.21 is: 9,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.21 : 16,786.61 = 6,575.21 : x
  2. Step 2: Convert to fraction form
    12,164.21/16,786.61 = 6,575.21/x
  3. Step 3: Cross multiply
    12,164.21x = 16,786.61 × 6,575.21
  4. Step 4: Simplify right side
    12,164.21x = 110,375,456.74
  5. Step 5: Solve for x
    x = 110,375,456.74/12,164.21
  6. Step 6: Final answer
    x = 9,073.79

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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.