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Finding the Fourth Proportional to 2,796.53, 3,853.64 and 1,997.60

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Solution

The fourth proportional to 2,796.53, 3,853.64 and 1,997.60 is: 2,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.53 : 3,853.64 = 1,997.60 : x
  2. Step 2: Convert to fraction form
    2,796.53/3,853.64 = 1,997.60/x
  3. Step 3: Cross multiply
    2,796.53x = 3,853.64 × 1,997.60
  4. Step 4: Simplify right side
    2,796.53x = 7,698,016.99
  5. Step 5: Solve for x
    x = 7,698,016.99/2,796.53
  6. Step 6: Final answer
    x = 2,752.71

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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.