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Finding the Fourth Proportional to 3,768.44, 5,200.44 and 2,090.10

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Solution

The fourth proportional to 3,768.44, 5,200.44 and 2,090.10 is: 2,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.44 : 5,200.44 = 2,090.10 : x
  2. Step 2: Convert to fraction form
    3,768.44/5,200.44 = 2,090.10/x
  3. Step 3: Cross multiply
    3,768.44x = 5,200.44 × 2,090.10
  4. Step 4: Simplify right side
    3,768.44x = 10,869,453.98
  5. Step 5: Solve for x
    x = 10,869,453.98/3,768.44
  6. Step 6: Final answer
    x = 2,884.34

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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.