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Finding the Fourth Proportional to 3,481.86, 5,222.71 and 884.80

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Solution

The fourth proportional to 3,481.86, 5,222.71 and 884.80 is: 1,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.86 : 5,222.71 = 884.80 : x
  2. Step 2: Convert to fraction form
    3,481.86/5,222.71 = 884.80/x
  3. Step 3: Cross multiply
    3,481.86x = 5,222.71 × 884.80
  4. Step 4: Simplify right side
    3,481.86x = 4,621,053.81
  5. Step 5: Solve for x
    x = 4,621,053.81/3,481.86
  6. Step 6: Final answer
    x = 1,327.18

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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.