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Finding the Fourth Proportional to 1,995.58, 2,753.43 and 1,198.63

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Solution

The fourth proportional to 1,995.58, 2,753.43 and 1,198.63 is: 1,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.58 : 2,753.43 = 1,198.63 : x
  2. Step 2: Convert to fraction form
    1,995.58/2,753.43 = 1,198.63/x
  3. Step 3: Cross multiply
    1,995.58x = 2,753.43 × 1,198.63
  4. Step 4: Simplify right side
    1,995.58x = 3,300,349.49
  5. Step 5: Solve for x
    x = 3,300,349.49/1,995.58
  6. Step 6: Final answer
    x = 1,653.83

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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.