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Finding the Fourth Proportional to 12,394, 18,591 and 3,628.99

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Solution

The fourth proportional to 12,394, 18,591 and 3,628.99 is: 5,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394 : 18,591 = 3,628.99 : x
  2. Step 2: Convert to fraction form
    12,394/18,591 = 3,628.99/x
  3. Step 3: Cross multiply
    12,394x = 18,591 × 3,628.99
  4. Step 4: Simplify right side
    12,394x = 67,466,553.09
  5. Step 5: Solve for x
    x = 67,466,553.09/12,394
  6. Step 6: Final answer
    x = 5,443.49

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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.