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Finding the Fourth Proportional to 1,816.54, 2,724.87 and 828.94

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Solution

The fourth proportional to 1,816.54, 2,724.87 and 828.94 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.54 : 2,724.87 = 828.94 : x
  2. Step 2: Convert to fraction form
    1,816.54/2,724.87 = 828.94/x
  3. Step 3: Cross multiply
    1,816.54x = 2,724.87 × 828.94
  4. Step 4: Simplify right side
    1,816.54x = 2,258,753.74
  5. Step 5: Solve for x
    x = 2,258,753.74/1,816.54
  6. Step 6: Final answer
    x = 1,243.44

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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.