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Finding the Fourth Proportional to 1,990.95, 2,743.65 and 1,959.09

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Solution

The fourth proportional to 1,990.95, 2,743.65 and 1,959.09 is: 2,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.95 : 2,743.65 = 1,959.09 : x
  2. Step 2: Convert to fraction form
    1,990.95/2,743.65 = 1,959.09/x
  3. Step 3: Cross multiply
    1,990.95x = 2,743.65 × 1,959.09
  4. Step 4: Simplify right side
    1,990.95x = 5,375,057.28
  5. Step 5: Solve for x
    x = 5,375,057.28/1,990.95
  6. Step 6: Final answer
    x = 2,699.74

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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.