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Finding the Fourth Proportional to 3,659.42, 5,485.48 and 1,578.54

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Solution

The fourth proportional to 3,659.42, 5,485.48 and 1,578.54 is: 2,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.42 : 5,485.48 = 1,578.54 : x
  2. Step 2: Convert to fraction form
    3,659.42/5,485.48 = 1,578.54/x
  3. Step 3: Cross multiply
    3,659.42x = 5,485.48 × 1,578.54
  4. Step 4: Simplify right side
    3,659.42x = 8,659,049.60
  5. Step 5: Solve for x
    x = 8,659,049.60/3,659.42
  6. Step 6: Final answer
    x = 2,366.24

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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.