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Finding the Fourth Proportional to 20,149.20, 30,223.80 and 7,837.20

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Solution

The fourth proportional to 20,149.20, 30,223.80 and 7,837.20 is: 11,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.20 : 30,223.80 = 7,837.20 : x
  2. Step 2: Convert to fraction form
    20,149.20/30,223.80 = 7,837.20/x
  3. Step 3: Cross multiply
    20,149.20x = 30,223.80 × 7,837.20
  4. Step 4: Simplify right side
    20,149.20x = 236,869,965.36
  5. Step 5: Solve for x
    x = 236,869,965.36/20,149.20
  6. Step 6: Final answer
    x = 11,755.80

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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.