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Finding the Fourth Proportional to 20,161.56, 30,242.22 and 7,849.56

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Solution

The fourth proportional to 20,161.56, 30,242.22 and 7,849.56 is: 11,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.56 : 30,242.22 = 7,849.56 : x
  2. Step 2: Convert to fraction form
    20,161.56/30,242.22 = 7,849.56/x
  3. Step 3: Cross multiply
    20,161.56x = 30,242.22 × 7,849.56
  4. Step 4: Simplify right side
    20,161.56x = 237,388,120.42
  5. Step 5: Solve for x
    x = 237,388,120.42/20,161.56
  6. Step 6: Final answer
    x = 11,774.29

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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.