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Finding the Fourth Proportional to 2,546.54, 3,818.91 and 791.32

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Solution

The fourth proportional to 2,546.54, 3,818.91 and 791.32 is: 1,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.54 : 3,818.91 = 791.32 : x
  2. Step 2: Convert to fraction form
    2,546.54/3,818.91 = 791.32/x
  3. Step 3: Cross multiply
    2,546.54x = 3,818.91 × 791.32
  4. Step 4: Simplify right side
    2,546.54x = 3,021,980.44
  5. Step 5: Solve for x
    x = 3,021,980.44/2,546.54
  6. Step 6: Final answer
    x = 1,186.70

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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.