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Finding the Fourth Proportional to 12,194.62, 18,291.95 and 3,429.54

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Solution

The fourth proportional to 12,194.62, 18,291.95 and 3,429.54 is: 5,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.62 : 18,291.95 = 3,429.54 : x
  2. Step 2: Convert to fraction form
    12,194.62/18,291.95 = 3,429.54/x
  3. Step 3: Cross multiply
    12,194.62x = 18,291.95 × 3,429.54
  4. Step 4: Simplify right side
    12,194.62x = 62,732,957.06
  5. Step 5: Solve for x
    x = 62,732,957.06/12,194.62
  6. Step 6: Final answer
    x = 5,144.31

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Similar ratio
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1.5x scale

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.