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Finding the Fourth Proportional to 20,213.46, 30,319.18 and 7,739.46

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Solution

The fourth proportional to 20,213.46, 30,319.18 and 7,739.46 is: 11,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.46 : 30,319.18 = 7,739.46 : x
  2. Step 2: Convert to fraction form
    20,213.46/30,319.18 = 7,739.46/x
  3. Step 3: Cross multiply
    20,213.46x = 30,319.18 × 7,739.46
  4. Step 4: Simplify right side
    20,213.46x = 234,654,061.49
  5. Step 5: Solve for x
    x = 234,654,061.49/20,213.46
  6. Step 6: Final answer
    x = 11,608.80

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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.