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Finding the Fourth Proportional to 2,546.22, 3,811.19 and 1,661.65

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Solution

The fourth proportional to 2,546.22, 3,811.19 and 1,661.65 is: 2,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.22 : 3,811.19 = 1,661.65 : x
  2. Step 2: Convert to fraction form
    2,546.22/3,811.19 = 1,661.65/x
  3. Step 3: Cross multiply
    2,546.22x = 3,811.19 × 1,661.65
  4. Step 4: Simplify right side
    2,546.22x = 6,332,844.81
  5. Step 5: Solve for x
    x = 6,332,844.81/2,546.22
  6. Step 6: Final answer
    x = 2,487.16

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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.