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Finding the Fourth Proportional to 3,486.62, 5,229.92 and 2,189.00

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Solution

The fourth proportional to 3,486.62, 5,229.92 and 2,189.00 is: 3,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.62 : 5,229.92 = 2,189.00 : x
  2. Step 2: Convert to fraction form
    3,486.62/5,229.92 = 2,189.00/x
  3. Step 3: Cross multiply
    3,486.62x = 5,229.92 × 2,189.00
  4. Step 4: Simplify right side
    3,486.62x = 11,448,257.79
  5. Step 5: Solve for x
    x = 11,448,257.79/3,486.62
  6. Step 6: Final answer
    x = 3,283.49

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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.