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Finding the Fourth Proportional to 20,646.48, 30,948.54 and 8,161.44

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Solution

The fourth proportional to 20,646.48, 30,948.54 and 8,161.44 is: 12,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.48 : 30,948.54 = 8,161.44 : x
  2. Step 2: Convert to fraction form
    20,646.48/30,948.54 = 8,161.44/x
  3. Step 3: Cross multiply
    20,646.48x = 30,948.54 × 8,161.44
  4. Step 4: Simplify right side
    20,646.48x = 252,584,652.30
  5. Step 5: Solve for x
    x = 252,584,652.30/20,646.48
  6. Step 6: Final answer
    x = 12,233.79

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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.