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Finding the Fourth Proportional to 3,817.92, 5,717.16 and 3,200.16

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Solution

The fourth proportional to 3,817.92, 5,717.16 and 3,200.16 is: 4,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.92 : 5,717.16 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    3,817.92/5,717.16 = 3,200.16/x
  3. Step 3: Cross multiply
    3,817.92x = 5,717.16 × 3,200.16
  4. Step 4: Simplify right side
    3,817.92x = 18,295,826.75
  5. Step 5: Solve for x
    x = 18,295,826.75/3,817.92
  6. Step 6: Final answer
    x = 4,792.09

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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.