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Finding the Fourth Proportional to 2,809.73, 4,208.52 and 1,832.87

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Solution

The fourth proportional to 2,809.73, 4,208.52 and 1,832.87 is: 2,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.73 : 4,208.52 = 1,832.87 : x
  2. Step 2: Convert to fraction form
    2,809.73/4,208.52 = 1,832.87/x
  3. Step 3: Cross multiply
    2,809.73x = 4,208.52 × 1,832.87
  4. Step 4: Simplify right side
    2,809.73x = 7,713,670.05
  5. Step 5: Solve for x
    x = 7,713,670.05/2,809.73
  6. Step 6: Final answer
    x = 2,745.34

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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.