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Finding the Fourth Proportional to 3,100.83, 4,640.34 and 2,224.32

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Solution

The fourth proportional to 3,100.83, 4,640.34 and 2,224.32 is: 3,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.83 : 4,640.34 = 2,224.32 : x
  2. Step 2: Convert to fraction form
    3,100.83/4,640.34 = 2,224.32/x
  3. Step 3: Cross multiply
    3,100.83x = 4,640.34 × 2,224.32
  4. Step 4: Simplify right side
    3,100.83x = 10,321,601.07
  5. Step 5: Solve for x
    x = 10,321,601.07/3,100.83
  6. Step 6: Final answer
    x = 3,328.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.