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Finding the Fourth Proportional to 12,906.62, 19,357.61 and 3,419

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Solution

The fourth proportional to 12,906.62, 19,357.61 and 3,419 is: 5,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.62 : 19,357.61 = 3,419 : x
  2. Step 2: Convert to fraction form
    12,906.62/19,357.61 = 3,419/x
  3. Step 3: Cross multiply
    12,906.62x = 19,357.61 × 3,419
  4. Step 4: Simplify right side
    12,906.62x = 66,183,668.59
  5. Step 5: Solve for x
    x = 66,183,668.59/12,906.62
  6. Step 6: Final answer
    x = 5,127.89

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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.