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Finding the Fourth Proportional to 5,738.94, 7,919.10 and 3,220.54

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Solution

The fourth proportional to 5,738.94, 7,919.10 and 3,220.54 is: 4,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.94 : 7,919.10 = 3,220.54 : x
  2. Step 2: Convert to fraction form
    5,738.94/7,919.10 = 3,220.54/x
  3. Step 3: Cross multiply
    5,738.94x = 7,919.10 × 3,220.54
  4. Step 4: Simplify right side
    5,738.94x = 25,503,778.31
  5. Step 5: Solve for x
    x = 25,503,778.31/5,738.94
  6. Step 6: Final answer
    x = 4,443.99

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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.