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Finding the Fourth Proportional to 12,137, 18,203.46 and 3,372.80

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Solution

The fourth proportional to 12,137, 18,203.46 and 3,372.80 is: 5,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 18,203.46 = 3,372.80 : x
  2. Step 2: Convert to fraction form
    12,137/18,203.46 = 3,372.80/x
  3. Step 3: Cross multiply
    12,137x = 18,203.46 × 3,372.80
  4. Step 4: Simplify right side
    12,137x = 61,396,629.89
  5. Step 5: Solve for x
    x = 61,396,629.89/12,137
  6. Step 6: Final answer
    x = 5,058.63

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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.