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Finding the Fourth Proportional to 1,961.64, 2,708.22 and 1,253.88

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Solution

The fourth proportional to 1,961.64, 2,708.22 and 1,253.88 is: 1,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.64 : 2,708.22 = 1,253.88 : x
  2. Step 2: Convert to fraction form
    1,961.64/2,708.22 = 1,253.88/x
  3. Step 3: Cross multiply
    1,961.64x = 2,708.22 × 1,253.88
  4. Step 4: Simplify right side
    1,961.64x = 3,395,782.89
  5. Step 5: Solve for x
    x = 3,395,782.89/1,961.64
  6. Step 6: Final answer
    x = 1,731.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.