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Finding the Fourth Proportional to 20,779, 31,168.50 and 9,092.22

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Solution

The fourth proportional to 20,779, 31,168.50 and 9,092.22 is: 13,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779 : 31,168.50 = 9,092.22 : x
  2. Step 2: Convert to fraction form
    20,779/31,168.50 = 9,092.22/x
  3. Step 3: Cross multiply
    20,779x = 31,168.50 × 9,092.22
  4. Step 4: Simplify right side
    20,779x = 283,390,859.07
  5. Step 5: Solve for x
    x = 283,390,859.07/20,779
  6. Step 6: Final answer
    x = 13,638.33

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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.