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Finding the Fourth Proportional to 2,660.70, 3,989.80 and 812.01

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Solution

The fourth proportional to 2,660.70, 3,989.80 and 812.01 is: 1,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.70 : 3,989.80 = 812.01 : x
  2. Step 2: Convert to fraction form
    2,660.70/3,989.80 = 812.01/x
  3. Step 3: Cross multiply
    2,660.70x = 3,989.80 × 812.01
  4. Step 4: Simplify right side
    2,660.70x = 3,239,757.50
  5. Step 5: Solve for x
    x = 3,239,757.50/2,660.70
  6. Step 6: Final answer
    x = 1,217.63

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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.