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Finding the Fourth Proportional to 20,091, 30,136.50 and 7,779

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Solution

The fourth proportional to 20,091, 30,136.50 and 7,779 is: 11,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091 : 30,136.50 = 7,779 : x
  2. Step 2: Convert to fraction form
    20,091/30,136.50 = 7,779/x
  3. Step 3: Cross multiply
    20,091x = 30,136.50 × 7,779
  4. Step 4: Simplify right side
    20,091x = 234,431,833.50
  5. Step 5: Solve for x
    x = 234,431,833.50/20,091
  6. Step 6: Final answer
    x = 11,668.50

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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.