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Finding the Fourth Proportional to 1,896.49, 2,843.86 and 800.25

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Solution

The fourth proportional to 1,896.49, 2,843.86 and 800.25 is: 1,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.49 : 2,843.86 = 800.25 : x
  2. Step 2: Convert to fraction form
    1,896.49/2,843.86 = 800.25/x
  3. Step 3: Cross multiply
    1,896.49x = 2,843.86 × 800.25
  4. Step 4: Simplify right side
    1,896.49x = 2,275,798.97
  5. Step 5: Solve for x
    x = 2,275,798.97/1,896.49
  6. Step 6: Final answer
    x = 1,200.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.