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Finding the Fourth Proportional to 1,474.91, 2,212.82 and 825.19

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Solution

The fourth proportional to 1,474.91, 2,212.82 and 825.19 is: 1,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.91 : 2,212.82 = 825.19 : x
  2. Step 2: Convert to fraction form
    1,474.91/2,212.82 = 825.19/x
  3. Step 3: Cross multiply
    1,474.91x = 2,212.82 × 825.19
  4. Step 4: Simplify right side
    1,474.91x = 1,825,990.37
  5. Step 5: Solve for x
    x = 1,825,990.37/1,474.91
  6. Step 6: Final answer
    x = 1,238.04

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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.