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Finding the Fourth Proportional to 3,649.78, 5,474.46 and 3,243.56

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Solution

The fourth proportional to 3,649.78, 5,474.46 and 3,243.56 is: 4,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.78 : 5,474.46 = 3,243.56 : x
  2. Step 2: Convert to fraction form
    3,649.78/5,474.46 = 3,243.56/x
  3. Step 3: Cross multiply
    3,649.78x = 5,474.46 × 3,243.56
  4. Step 4: Simplify right side
    3,649.78x = 17,756,765.33
  5. Step 5: Solve for x
    x = 17,756,765.33/3,649.78
  6. Step 6: Final answer
    x = 4,865.16

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1.5x scale

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.