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Finding the Fourth Proportional to 1,942.48, 2,914.08 and 789.04

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Solution

The fourth proportional to 1,942.48, 2,914.08 and 789.04 is: 1,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.48 : 2,914.08 = 789.04 : x
  2. Step 2: Convert to fraction form
    1,942.48/2,914.08 = 789.04/x
  3. Step 3: Cross multiply
    1,942.48x = 2,914.08 × 789.04
  4. Step 4: Simplify right side
    1,942.48x = 2,299,325.68
  5. Step 5: Solve for x
    x = 2,299,325.68/1,942.48
  6. Step 6: Final answer
    x = 1,183.71

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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.