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Finding the Fourth Proportional to 5,234.44, 7,220.92 and 3,109

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Solution

The fourth proportional to 5,234.44, 7,220.92 and 3,109 is: 4,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.44 : 7,220.92 = 3,109 : x
  2. Step 2: Convert to fraction form
    5,234.44/7,220.92 = 3,109/x
  3. Step 3: Cross multiply
    5,234.44x = 7,220.92 × 3,109
  4. Step 4: Simplify right side
    5,234.44x = 22,449,840.28
  5. Step 5: Solve for x
    x = 22,449,840.28/5,234.44
  6. Step 6: Final answer
    x = 4,288.87

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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.