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Finding the Fourth Proportional to 3,768.90, 5,201.01 and 2,090.40

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Solution

The fourth proportional to 3,768.90, 5,201.01 and 2,090.40 is: 2,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.90 : 5,201.01 = 2,090.40 : x
  2. Step 2: Convert to fraction form
    3,768.90/5,201.01 = 2,090.40/x
  3. Step 3: Cross multiply
    3,768.90x = 5,201.01 × 2,090.40
  4. Step 4: Simplify right side
    3,768.90x = 10,872,191.30
  5. Step 5: Solve for x
    x = 10,872,191.30/3,768.90
  6. Step 6: Final answer
    x = 2,884.71

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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.