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Finding the Fourth Proportional to 3,189, 4,782.96 and 849.04

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Solution

The fourth proportional to 3,189, 4,782.96 and 849.04 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,782.96 = 849.04 : x
  2. Step 2: Convert to fraction form
    3,189/4,782.96 = 849.04/x
  3. Step 3: Cross multiply
    3,189x = 4,782.96 × 849.04
  4. Step 4: Simplify right side
    3,189x = 4,060,924.36
  5. Step 5: Solve for x
    x = 4,060,924.36/3,189
  6. Step 6: Final answer
    x = 1,273.42

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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.