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Finding the Fourth Proportional to 2,052.80, 2,824.80 and 1,965.44

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Solution

The fourth proportional to 2,052.80, 2,824.80 and 1,965.44 is: 2,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.80 : 2,824.80 = 1,965.44 : x
  2. Step 2: Convert to fraction form
    2,052.80/2,824.80 = 1,965.44/x
  3. Step 3: Cross multiply
    2,052.80x = 2,824.80 × 1,965.44
  4. Step 4: Simplify right side
    2,052.80x = 5,551,974.91
  5. Step 5: Solve for x
    x = 5,551,974.91/2,052.80
  6. Step 6: Final answer
    x = 2,704.59

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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.