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Finding the Fourth Proportional to 11,078.21, 16,618.22 and 3,287

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Solution

The fourth proportional to 11,078.21, 16,618.22 and 3,287 is: 4,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.21 : 16,618.22 = 3,287 : x
  2. Step 2: Convert to fraction form
    11,078.21/16,618.22 = 3,287/x
  3. Step 3: Cross multiply
    11,078.21x = 16,618.22 × 3,287
  4. Step 4: Simplify right side
    11,078.21x = 54,624,089.14
  5. Step 5: Solve for x
    x = 54,624,089.14/11,078.21
  6. Step 6: Final answer
    x = 4,930.77

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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.