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Finding the Fourth Proportional to 1,896.45, 2,842.44 and 855.24

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Solution

The fourth proportional to 1,896.45, 2,842.44 and 855.24 is: 1,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.45 : 2,842.44 = 855.24 : x
  2. Step 2: Convert to fraction form
    1,896.45/2,842.44 = 855.24/x
  3. Step 3: Cross multiply
    1,896.45x = 2,842.44 × 855.24
  4. Step 4: Simplify right side
    1,896.45x = 2,430,968.39
  5. Step 5: Solve for x
    x = 2,430,968.39/1,896.45
  6. Step 6: Final answer
    x = 1,281.85

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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.