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Finding the Fourth Proportional to 1,968.56, 2,713.28 and 1,649.70

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Solution

The fourth proportional to 1,968.56, 2,713.28 and 1,649.70 is: 2,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.56 : 2,713.28 = 1,649.70 : x
  2. Step 2: Convert to fraction form
    1,968.56/2,713.28 = 1,649.70/x
  3. Step 3: Cross multiply
    1,968.56x = 2,713.28 × 1,649.70
  4. Step 4: Simplify right side
    1,968.56x = 4,476,098.02
  5. Step 5: Solve for x
    x = 4,476,098.02/1,968.56
  6. Step 6: Final answer
    x = 2,273.79

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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.