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Finding the Fourth Proportional to 18,580.74, 27,884.77 and 12,338.68

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Solution

The fourth proportional to 18,580.74, 27,884.77 and 12,338.68 is: 18,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.74 : 27,884.77 = 12,338.68 : x
  2. Step 2: Convert to fraction form
    18,580.74/27,884.77 = 12,338.68/x
  3. Step 3: Cross multiply
    18,580.74x = 27,884.77 × 12,338.68
  4. Step 4: Simplify right side
    18,580.74x = 344,061,114.48
  5. Step 5: Solve for x
    x = 344,061,114.48/18,580.74
  6. Step 6: Final answer
    x = 18,517.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.