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Finding the Fourth Proportional to 2,568.96, 3,854.16 and 2,108.88

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Solution

The fourth proportional to 2,568.96, 3,854.16 and 2,108.88 is: 3,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.96 : 3,854.16 = 2,108.88 : x
  2. Step 2: Convert to fraction form
    2,568.96/3,854.16 = 2,108.88/x
  3. Step 3: Cross multiply
    2,568.96x = 3,854.16 × 2,108.88
  4. Step 4: Simplify right side
    2,568.96x = 8,127,960.94
  5. Step 5: Solve for x
    x = 8,127,960.94/2,568.96
  6. Step 6: Final answer
    x = 3,163.91

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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.