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Finding the Fourth Proportional to 2,725.80, 4,087.60 and 994.04

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Solution

The fourth proportional to 2,725.80, 4,087.60 and 994.04 is: 1,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.80 : 4,087.60 = 994.04 : x
  2. Step 2: Convert to fraction form
    2,725.80/4,087.60 = 994.04/x
  3. Step 3: Cross multiply
    2,725.80x = 4,087.60 × 994.04
  4. Step 4: Simplify right side
    2,725.80x = 4,063,237.90
  5. Step 5: Solve for x
    x = 4,063,237.90/2,725.80
  6. Step 6: Final answer
    x = 1,490.66

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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.