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Finding the Fourth Proportional to 3,181.28, 4,771.84 and 872.80

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Solution

The fourth proportional to 3,181.28, 4,771.84 and 872.80 is: 1,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.28 : 4,771.84 = 872.80 : x
  2. Step 2: Convert to fraction form
    3,181.28/4,771.84 = 872.80/x
  3. Step 3: Cross multiply
    3,181.28x = 4,771.84 × 872.80
  4. Step 4: Simplify right side
    3,181.28x = 4,164,861.95
  5. Step 5: Solve for x
    x = 4,164,861.95/3,181.28
  6. Step 6: Final answer
    x = 1,309.18

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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.