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Finding the Fourth Proportional to 1,995.53, 2,753.68 and 1,198.90

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Solution

The fourth proportional to 1,995.53, 2,753.68 and 1,198.90 is: 1,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.53 : 2,753.68 = 1,198.90 : x
  2. Step 2: Convert to fraction form
    1,995.53/2,753.68 = 1,198.90/x
  3. Step 3: Cross multiply
    1,995.53x = 2,753.68 × 1,198.90
  4. Step 4: Simplify right side
    1,995.53x = 3,301,367.19
  5. Step 5: Solve for x
    x = 3,301,367.19/1,995.53
  6. Step 6: Final answer
    x = 1,654.38

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1.5x scale

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.