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Finding the Fourth Proportional to 22,257.74, 30,716.16 and 12,186.62

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Solution

The fourth proportional to 22,257.74, 30,716.16 and 12,186.62 is: 16,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.74 : 30,716.16 = 12,186.62 : x
  2. Step 2: Convert to fraction form
    22,257.74/30,716.16 = 12,186.62/x
  3. Step 3: Cross multiply
    22,257.74x = 30,716.16 × 12,186.62
  4. Step 4: Simplify right side
    22,257.74x = 374,326,169.78
  5. Step 5: Solve for x
    x = 374,326,169.78/22,257.74
  6. Step 6: Final answer
    x = 16,817.80

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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.