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Finding the Fourth Proportional to 2,728, 3,764.96 and 1,624

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Solution

The fourth proportional to 2,728, 3,764.96 and 1,624 is: 2,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728 : 3,764.96 = 1,624 : x
  2. Step 2: Convert to fraction form
    2,728/3,764.96 = 1,624/x
  3. Step 3: Cross multiply
    2,728x = 3,764.96 × 1,624
  4. Step 4: Simplify right side
    2,728x = 6,114,295.04
  5. Step 5: Solve for x
    x = 6,114,295.04/2,728
  6. Step 6: Final answer
    x = 2,241.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.