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Finding the Fourth Proportional to 3,728, 5,589.84 and 1,648

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Solution

The fourth proportional to 3,728, 5,589.84 and 1,648 is: 2,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 5,589.84 = 1,648 : x
  2. Step 2: Convert to fraction form
    3,728/5,589.84 = 1,648/x
  3. Step 3: Cross multiply
    3,728x = 5,589.84 × 1,648
  4. Step 4: Simplify right side
    3,728x = 9,212,056.32
  5. Step 5: Solve for x
    x = 9,212,056.32/3,728
  6. Step 6: Final answer
    x = 2,471.05

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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.