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Finding the Fourth Proportional to 12,195.76, 18,293.68 and 2,961.76

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Solution

The fourth proportional to 12,195.76, 18,293.68 and 2,961.76 is: 4,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.76 : 18,293.68 = 2,961.76 : x
  2. Step 2: Convert to fraction form
    12,195.76/18,293.68 = 2,961.76/x
  3. Step 3: Cross multiply
    12,195.76x = 18,293.68 × 2,961.76
  4. Step 4: Simplify right side
    12,195.76x = 54,181,489.68
  5. Step 5: Solve for x
    x = 54,181,489.68/12,195.76
  6. Step 6: Final answer
    x = 4,442.65

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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.