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Finding the Fourth Proportional to 20,093.70, 30,136.43 and 7,609.42

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Solution

The fourth proportional to 20,093.70, 30,136.43 and 7,609.42 is: 11,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.70 : 30,136.43 = 7,609.42 : x
  2. Step 2: Convert to fraction form
    20,093.70/30,136.43 = 7,609.42/x
  3. Step 3: Cross multiply
    20,093.70x = 30,136.43 × 7,609.42
  4. Step 4: Simplify right side
    20,093.70x = 229,320,564.44
  5. Step 5: Solve for x
    x = 229,320,564.44/20,093.70
  6. Step 6: Final answer
    x = 11,412.56

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1.5x scale

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.