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Finding the Fourth Proportional to 40,396, 60,603.84 and 12,694

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Solution

The fourth proportional to 40,396, 60,603.84 and 12,694 is: 19,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,396 : 60,603.84 = 12,694 : x
  2. Step 2: Convert to fraction form
    40,396/60,603.84 = 12,694/x
  3. Step 3: Cross multiply
    40,396x = 60,603.84 × 12,694
  4. Step 4: Simplify right side
    40,396x = 769,305,144.96
  5. Step 5: Solve for x
    x = 769,305,144.96/40,396
  6. Step 6: Final answer
    x = 19,044.09

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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.