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Finding the Fourth Proportional to 2,548.09, 3,821.39 and 792.64

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Solution

The fourth proportional to 2,548.09, 3,821.39 and 792.64 is: 1,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.09 : 3,821.39 = 792.64 : x
  2. Step 2: Convert to fraction form
    2,548.09/3,821.39 = 792.64/x
  3. Step 3: Cross multiply
    2,548.09x = 3,821.39 × 792.64
  4. Step 4: Simplify right side
    2,548.09x = 3,028,986.57
  5. Step 5: Solve for x
    x = 3,028,986.57/2,548.09
  6. Step 6: Final answer
    x = 1,188.73

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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.