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Finding the Fourth Proportional to 2,568.88, 3,834.74 and 2,257.49

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Solution

The fourth proportional to 2,568.88, 3,834.74 and 2,257.49 is: 3,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.88 : 3,834.74 = 2,257.49 : x
  2. Step 2: Convert to fraction form
    2,568.88/3,834.74 = 2,257.49/x
  3. Step 3: Cross multiply
    2,568.88x = 3,834.74 × 2,257.49
  4. Step 4: Simplify right side
    2,568.88x = 8,656,887.20
  5. Step 5: Solve for x
    x = 8,656,887.20/2,568.88
  6. Step 6: Final answer
    x = 3,369.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.