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Finding the Fourth Proportional to 3,449.70, 5,170.46 and 1,669.64

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Solution

The fourth proportional to 3,449.70, 5,170.46 and 1,669.64 is: 2,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.70 : 5,170.46 = 1,669.64 : x
  2. Step 2: Convert to fraction form
    3,449.70/5,170.46 = 1,669.64/x
  3. Step 3: Cross multiply
    3,449.70x = 5,170.46 × 1,669.64
  4. Step 4: Simplify right side
    3,449.70x = 8,632,772.63
  5. Step 5: Solve for x
    x = 8,632,772.63/3,449.70
  6. Step 6: Final answer
    x = 2,502.47

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Why These Related Problems?

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