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Finding the Fourth Proportional to 3,404.81, 5,072.97 and 3,181.25

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Solution

The fourth proportional to 3,404.81, 5,072.97 and 3,181.25 is: 4,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.81 : 5,072.97 = 3,181.25 : x
  2. Step 2: Convert to fraction form
    3,404.81/5,072.97 = 3,181.25/x
  3. Step 3: Cross multiply
    3,404.81x = 5,072.97 × 3,181.25
  4. Step 4: Simplify right side
    3,404.81x = 16,138,385.81
  5. Step 5: Solve for x
    x = 16,138,385.81/3,404.81
  6. Step 6: Final answer
    x = 4,739.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.