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Finding the Fourth Proportional to 3,120.50, 4,680.76 and 812

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Solution

The fourth proportional to 3,120.50, 4,680.76 and 812 is: 1,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.50 : 4,680.76 = 812 : x
  2. Step 2: Convert to fraction form
    3,120.50/4,680.76 = 812/x
  3. Step 3: Cross multiply
    3,120.50x = 4,680.76 × 812
  4. Step 4: Simplify right side
    3,120.50x = 3,800,777.12
  5. Step 5: Solve for x
    x = 3,800,777.12/3,120.50
  6. Step 6: Final answer
    x = 1,218.00

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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.