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Finding the Fourth Proportional to 12,161, 18,241.82 and 3,953

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Solution

The fourth proportional to 12,161, 18,241.82 and 3,953 is: 5,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161 : 18,241.82 = 3,953 : x
  2. Step 2: Convert to fraction form
    12,161/18,241.82 = 3,953/x
  3. Step 3: Cross multiply
    12,161x = 18,241.82 × 3,953
  4. Step 4: Simplify right side
    12,161x = 72,109,914.46
  5. Step 5: Solve for x
    x = 72,109,914.46/12,161
  6. Step 6: Final answer
    x = 5,929.60

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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.