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Finding the Fourth Proportional to 3,249.54, 4,873.44 and 909.41

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Solution

The fourth proportional to 3,249.54, 4,873.44 and 909.41 is: 1,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.54 : 4,873.44 = 909.41 : x
  2. Step 2: Convert to fraction form
    3,249.54/4,873.44 = 909.41/x
  3. Step 3: Cross multiply
    3,249.54x = 4,873.44 × 909.41
  4. Step 4: Simplify right side
    3,249.54x = 4,431,930.70
  5. Step 5: Solve for x
    x = 4,431,930.70/3,249.54
  6. Step 6: Final answer
    x = 1,363.86

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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.