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Finding the Fourth Proportional to 12,181, 18,272.10 and 3,973

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Solution

The fourth proportional to 12,181, 18,272.10 and 3,973 is: 5,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181 : 18,272.10 = 3,973 : x
  2. Step 2: Convert to fraction form
    12,181/18,272.10 = 3,973/x
  3. Step 3: Cross multiply
    12,181x = 18,272.10 × 3,973
  4. Step 4: Simplify right side
    12,181x = 72,595,053.30
  5. Step 5: Solve for x
    x = 72,595,053.30/12,181
  6. Step 6: Final answer
    x = 5,959.70

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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.