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Finding the Fourth Proportional to 3,520.50, 5,255.52 and 3,274.46

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Solution

The fourth proportional to 3,520.50, 5,255.52 and 3,274.46 is: 4,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.50 : 5,255.52 = 3,274.46 : x
  2. Step 2: Convert to fraction form
    3,520.50/5,255.52 = 3,274.46/x
  3. Step 3: Cross multiply
    3,520.50x = 5,255.52 × 3,274.46
  4. Step 4: Simplify right side
    3,520.50x = 17,208,998.21
  5. Step 5: Solve for x
    x = 17,208,998.21/3,520.50
  6. Step 6: Final answer
    x = 4,888.23

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