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Finding the Fourth Proportional to 2,725, 4,081 and 1,568.32

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Solution

The fourth proportional to 2,725, 4,081 and 1,568.32 is: 2,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725 : 4,081 = 1,568.32 : x
  2. Step 2: Convert to fraction form
    2,725/4,081 = 1,568.32/x
  3. Step 3: Cross multiply
    2,725x = 4,081 × 1,568.32
  4. Step 4: Simplify right side
    2,725x = 6,400,313.92
  5. Step 5: Solve for x
    x = 6,400,313.92/2,725
  6. Step 6: Final answer
    x = 2,348.74

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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.