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Finding the Fourth Proportional to 3,661.50, 5,478.48 and 2,568

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Solution

The fourth proportional to 3,661.50, 5,478.48 and 2,568 is: 3,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.50 : 5,478.48 = 2,568 : x
  2. Step 2: Convert to fraction form
    3,661.50/5,478.48 = 2,568/x
  3. Step 3: Cross multiply
    3,661.50x = 5,478.48 × 2,568
  4. Step 4: Simplify right side
    3,661.50x = 14,068,736.64
  5. Step 5: Solve for x
    x = 14,068,736.64/3,661.50
  6. Step 6: Final answer
    x = 3,842.34

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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.