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Finding the Fourth Proportional to 3,847.54, 5,310.10 and 2,169.28

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Solution

The fourth proportional to 3,847.54, 5,310.10 and 2,169.28 is: 2,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.54 : 5,310.10 = 2,169.28 : x
  2. Step 2: Convert to fraction form
    3,847.54/5,310.10 = 2,169.28/x
  3. Step 3: Cross multiply
    3,847.54x = 5,310.10 × 2,169.28
  4. Step 4: Simplify right side
    3,847.54x = 11,519,093.73
  5. Step 5: Solve for x
    x = 11,519,093.73/3,847.54
  6. Step 6: Final answer
    x = 2,993.89

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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.