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Finding the Fourth Proportional to 2,144.75, 3,217.34 and 663.92

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Solution

The fourth proportional to 2,144.75, 3,217.34 and 663.92 is: 995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.75 : 3,217.34 = 663.92 : x
  2. Step 2: Convert to fraction form
    2,144.75/3,217.34 = 663.92/x
  3. Step 3: Cross multiply
    2,144.75x = 3,217.34 × 663.92
  4. Step 4: Simplify right side
    2,144.75x = 2,136,054.01
  5. Step 5: Solve for x
    x = 2,136,054.01/2,144.75
  6. Step 6: Final answer
    x = 995.94

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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.