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Finding the Fourth Proportional to 1,793.42, 2,474.96 and 996.78

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Solution

The fourth proportional to 1,793.42, 2,474.96 and 996.78 is: 1,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.42 : 2,474.96 = 996.78 : x
  2. Step 2: Convert to fraction form
    1,793.42/2,474.96 = 996.78/x
  3. Step 3: Cross multiply
    1,793.42x = 2,474.96 × 996.78
  4. Step 4: Simplify right side
    1,793.42x = 2,466,990.63
  5. Step 5: Solve for x
    x = 2,466,990.63/1,793.42
  6. Step 6: Final answer
    x = 1,375.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.