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Finding the Fourth Proportional to 12,146, 18,218.68 and 3,380.56

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Solution

The fourth proportional to 12,146, 18,218.68 and 3,380.56 is: 5,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 18,218.68 = 3,380.56 : x
  2. Step 2: Convert to fraction form
    12,146/18,218.68 = 3,380.56/x
  3. Step 3: Cross multiply
    12,146x = 18,218.68 × 3,380.56
  4. Step 4: Simplify right side
    12,146x = 61,589,340.86
  5. Step 5: Solve for x
    x = 61,589,340.86/12,146
  6. Step 6: Final answer
    x = 5,070.75

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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.