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Finding the Fourth Proportional to 3,812.70, 5,731.20 and 2,724.60

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Solution

The fourth proportional to 3,812.70, 5,731.20 and 2,724.60 is: 4,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.70 : 5,731.20 = 2,724.60 : x
  2. Step 2: Convert to fraction form
    3,812.70/5,731.20 = 2,724.60/x
  3. Step 3: Cross multiply
    3,812.70x = 5,731.20 × 2,724.60
  4. Step 4: Simplify right side
    3,812.70x = 15,615,227.52
  5. Step 5: Solve for x
    x = 15,615,227.52/3,812.70
  6. Step 6: Final answer
    x = 4,095.58

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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.