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Finding the Fourth Proportional to 3,728, 5,589.84 and 1,262.36

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Solution

The fourth proportional to 3,728, 5,589.84 and 1,262.36 is: 1,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 5,589.84 = 1,262.36 : x
  2. Step 2: Convert to fraction form
    3,728/5,589.84 = 1,262.36/x
  3. Step 3: Cross multiply
    3,728x = 5,589.84 × 1,262.36
  4. Step 4: Simplify right side
    3,728x = 7,056,390.42
  5. Step 5: Solve for x
    x = 7,056,390.42/3,728
  6. Step 6: Final answer
    x = 1,892.81

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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.