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Finding the Fourth Proportional to 12,198, 18,294.84 and 3,430.82

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Solution

The fourth proportional to 12,198, 18,294.84 and 3,430.82 is: 5,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 18,294.84 = 3,430.82 : x
  2. Step 2: Convert to fraction form
    12,198/18,294.84 = 3,430.82/x
  3. Step 3: Cross multiply
    12,198x = 18,294.84 × 3,430.82
  4. Step 4: Simplify right side
    12,198x = 62,766,302.97
  5. Step 5: Solve for x
    x = 62,766,302.97/12,198
  6. Step 6: Final answer
    x = 5,145.62

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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.