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Finding the Fourth Proportional to 3,768.78, 5,201.55 and 2,197.74

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Solution

The fourth proportional to 3,768.78, 5,201.55 and 2,197.74 is: 3,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.78 : 5,201.55 = 2,197.74 : x
  2. Step 2: Convert to fraction form
    3,768.78/5,201.55 = 2,197.74/x
  3. Step 3: Cross multiply
    3,768.78x = 5,201.55 × 2,197.74
  4. Step 4: Simplify right side
    3,768.78x = 11,431,654.50
  5. Step 5: Solve for x
    x = 11,431,654.50/3,768.78
  6. Step 6: Final answer
    x = 3,033.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.