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Finding the Fourth Proportional to 1,842.57, 2,761.15 and 855.69

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Solution

The fourth proportional to 1,842.57, 2,761.15 and 855.69 is: 1,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.57 : 2,761.15 = 855.69 : x
  2. Step 2: Convert to fraction form
    1,842.57/2,761.15 = 855.69/x
  3. Step 3: Cross multiply
    1,842.57x = 2,761.15 × 855.69
  4. Step 4: Simplify right side
    1,842.57x = 2,362,688.44
  5. Step 5: Solve for x
    x = 2,362,688.44/1,842.57
  6. Step 6: Final answer
    x = 1,282.28

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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.