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Finding the Fourth Proportional to 11,891.70, 17,836.25 and 4,779

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Solution

The fourth proportional to 11,891.70, 17,836.25 and 4,779 is: 7,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.70 : 17,836.25 = 4,779 : x
  2. Step 2: Convert to fraction form
    11,891.70/17,836.25 = 4,779/x
  3. Step 3: Cross multiply
    11,891.70x = 17,836.25 × 4,779
  4. Step 4: Simplify right side
    11,891.70x = 85,239,414.86
  5. Step 5: Solve for x
    x = 85,239,414.86/11,891.70
  6. Step 6: Final answer
    x = 7,167.98

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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.