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Finding the Fourth Proportional to 3,199.92, 4,797.36 and 1,638.24

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Solution

The fourth proportional to 3,199.92, 4,797.36 and 1,638.24 is: 2,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.92 : 4,797.36 = 1,638.24 : x
  2. Step 2: Convert to fraction form
    3,199.92/4,797.36 = 1,638.24/x
  3. Step 3: Cross multiply
    3,199.92x = 4,797.36 × 1,638.24
  4. Step 4: Simplify right side
    3,199.92x = 7,859,227.05
  5. Step 5: Solve for x
    x = 7,859,227.05/3,199.92
  6. Step 6: Final answer
    x = 2,456.07

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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.