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Finding the Fourth Proportional to 2,725.60, 4,089 and 994.22

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Solution

The fourth proportional to 2,725.60, 4,089 and 994.22 is: 1,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.60 : 4,089 = 994.22 : x
  2. Step 2: Convert to fraction form
    2,725.60/4,089 = 994.22/x
  3. Step 3: Cross multiply
    2,725.60x = 4,089 × 994.22
  4. Step 4: Simplify right side
    2,725.60x = 4,065,365.58
  5. Step 5: Solve for x
    x = 4,065,365.58/2,725.60
  6. Step 6: Final answer
    x = 1,491.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.