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Finding the Fourth Proportional to 2,542.90, 3,814.49 and 789.12

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Solution

The fourth proportional to 2,542.90, 3,814.49 and 789.12 is: 1,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.90 : 3,814.49 = 789.12 : x
  2. Step 2: Convert to fraction form
    2,542.90/3,814.49 = 789.12/x
  3. Step 3: Cross multiply
    2,542.90x = 3,814.49 × 789.12
  4. Step 4: Simplify right side
    2,542.90x = 3,010,090.35
  5. Step 5: Solve for x
    x = 3,010,090.35/2,542.90
  6. Step 6: Final answer
    x = 1,183.72

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1.5x scale

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.