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Finding the Fourth Proportional to 1,884.57, 2,826.39 and 789.75

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Solution

The fourth proportional to 1,884.57, 2,826.39 and 789.75 is: 1,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.57 : 2,826.39 = 789.75 : x
  2. Step 2: Convert to fraction form
    1,884.57/2,826.39 = 789.75/x
  3. Step 3: Cross multiply
    1,884.57x = 2,826.39 × 789.75
  4. Step 4: Simplify right side
    1,884.57x = 2,232,144.46
  5. Step 5: Solve for x
    x = 2,232,144.46/1,884.57
  6. Step 6: Final answer
    x = 1,184.43

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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.