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Finding the Fourth Proportional to 1,896.12, 2,842.26 and 800.76

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Solution

The fourth proportional to 1,896.12, 2,842.26 and 800.76 is: 1,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.12 : 2,842.26 = 800.76 : x
  2. Step 2: Convert to fraction form
    1,896.12/2,842.26 = 800.76/x
  3. Step 3: Cross multiply
    1,896.12x = 2,842.26 × 800.76
  4. Step 4: Simplify right side
    1,896.12x = 2,275,968.12
  5. Step 5: Solve for x
    x = 2,275,968.12/1,896.12
  6. Step 6: Final answer
    x = 1,200.33

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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.