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Finding the Fourth Proportional to 20,161.60, 30,243.30 and 7,687.60

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Solution

The fourth proportional to 20,161.60, 30,243.30 and 7,687.60 is: 11,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.60 : 30,243.30 = 7,687.60 : x
  2. Step 2: Convert to fraction form
    20,161.60/30,243.30 = 7,687.60/x
  3. Step 3: Cross multiply
    20,161.60x = 30,243.30 × 7,687.60
  4. Step 4: Simplify right side
    20,161.60x = 232,498,393.08
  5. Step 5: Solve for x
    x = 232,498,393.08/20,161.60
  6. Step 6: Final answer
    x = 11,531.74

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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.