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Finding the Fourth Proportional to 1,817.85, 2,724.03 and 1,353.41

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Solution

The fourth proportional to 1,817.85, 2,724.03 and 1,353.41 is: 2,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.85 : 2,724.03 = 1,353.41 : x
  2. Step 2: Convert to fraction form
    1,817.85/2,724.03 = 1,353.41/x
  3. Step 3: Cross multiply
    1,817.85x = 2,724.03 × 1,353.41
  4. Step 4: Simplify right side
    1,817.85x = 3,686,729.44
  5. Step 5: Solve for x
    x = 3,686,729.44/1,817.85
  6. Step 6: Final answer
    x = 2,028.07

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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.