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Finding the Fourth Proportional to 2,568.30, 3,847.05 and 2,136.30

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Solution

The fourth proportional to 2,568.30, 3,847.05 and 2,136.30 is: 3,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.30 : 3,847.05 = 2,136.30 : x
  2. Step 2: Convert to fraction form
    2,568.30/3,847.05 = 2,136.30/x
  3. Step 3: Cross multiply
    2,568.30x = 3,847.05 × 2,136.30
  4. Step 4: Simplify right side
    2,568.30x = 8,218,452.92
  5. Step 5: Solve for x
    x = 8,218,452.92/2,568.30
  6. Step 6: Final answer
    x = 3,199.96

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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.