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Finding the Fourth Proportional to 2,542.52, 3,813.91 and 788.74

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Solution

The fourth proportional to 2,542.52, 3,813.91 and 788.74 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.52 : 3,813.91 = 788.74 : x
  2. Step 2: Convert to fraction form
    2,542.52/3,813.91 = 788.74/x
  3. Step 3: Cross multiply
    2,542.52x = 3,813.91 × 788.74
  4. Step 4: Simplify right side
    2,542.52x = 3,008,171.87
  5. Step 5: Solve for x
    x = 3,008,171.87/2,542.52
  6. Step 6: Final answer
    x = 1,183.14

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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.