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Finding the Fourth Proportional to 5,481.87, 8,222.91 and 1,784.09

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Solution

The fourth proportional to 5,481.87, 8,222.91 and 1,784.09 is: 2,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.87 : 8,222.91 = 1,784.09 : x
  2. Step 2: Convert to fraction form
    5,481.87/8,222.91 = 1,784.09/x
  3. Step 3: Cross multiply
    5,481.87x = 8,222.91 × 1,784.09
  4. Step 4: Simplify right side
    5,481.87x = 14,670,361.47
  5. Step 5: Solve for x
    x = 14,670,361.47/5,481.87
  6. Step 6: Final answer
    x = 2,676.16

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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.