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Finding the Fourth Proportional to 5,481.72, 8,223.84 and 1,783.92

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Solution

The fourth proportional to 5,481.72, 8,223.84 and 1,783.92 is: 2,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.72 : 8,223.84 = 1,783.92 : x
  2. Step 2: Convert to fraction form
    5,481.72/8,223.84 = 1,783.92/x
  3. Step 3: Cross multiply
    5,481.72x = 8,223.84 × 1,783.92
  4. Step 4: Simplify right side
    5,481.72x = 14,670,672.65
  5. Step 5: Solve for x
    x = 14,670,672.65/5,481.72
  6. Step 6: Final answer
    x = 2,676.29

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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.