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Finding the Fourth Proportional to 12,184.62, 18,274.50 and 3,419.62

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Solution

The fourth proportional to 12,184.62, 18,274.50 and 3,419.62 is: 5,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.62 : 18,274.50 = 3,419.62 : x
  2. Step 2: Convert to fraction form
    12,184.62/18,274.50 = 3,419.62/x
  3. Step 3: Cross multiply
    12,184.62x = 18,274.50 × 3,419.62
  4. Step 4: Simplify right side
    12,184.62x = 62,491,845.69
  5. Step 5: Solve for x
    x = 62,491,845.69/12,184.62
  6. Step 6: Final answer
    x = 5,128.75

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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.