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Finding the Fourth Proportional to 18,649.26, 27,960.86 and 8,779

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Solution

The fourth proportional to 18,649.26, 27,960.86 and 8,779 is: 13,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.26 : 27,960.86 = 8,779 : x
  2. Step 2: Convert to fraction form
    18,649.26/27,960.86 = 8,779/x
  3. Step 3: Cross multiply
    18,649.26x = 27,960.86 × 8,779
  4. Step 4: Simplify right side
    18,649.26x = 245,468,389.94
  5. Step 5: Solve for x
    x = 245,468,389.94/18,649.26
  6. Step 6: Final answer
    x = 13,162.37

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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.