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Finding the Fourth Proportional to 11,171, 16,757.04 and 3,379.88

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Solution

The fourth proportional to 11,171, 16,757.04 and 3,379.88 is: 5,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171 : 16,757.04 = 3,379.88 : x
  2. Step 2: Convert to fraction form
    11,171/16,757.04 = 3,379.88/x
  3. Step 3: Cross multiply
    11,171x = 16,757.04 × 3,379.88
  4. Step 4: Simplify right side
    11,171x = 56,636,784.36
  5. Step 5: Solve for x
    x = 56,636,784.36/11,171
  6. Step 6: Final answer
    x = 5,069.98

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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.