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Finding the Fourth Proportional to 11,231, 16,847.18 and 3,439.88

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Solution

The fourth proportional to 11,231, 16,847.18 and 3,439.88 is: 5,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231 : 16,847.18 = 3,439.88 : x
  2. Step 2: Convert to fraction form
    11,231/16,847.18 = 3,439.88/x
  3. Step 3: Cross multiply
    11,231x = 16,847.18 × 3,439.88
  4. Step 4: Simplify right side
    11,231x = 57,952,277.54
  5. Step 5: Solve for x
    x = 57,952,277.54/11,231
  6. Step 6: Final answer
    x = 5,160.03

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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.