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Finding the Fourth Proportional to 5,323.24, 7,989.90 and 2,728

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Solution

The fourth proportional to 5,323.24, 7,989.90 and 2,728 is: 4,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.24 : 7,989.90 = 2,728 : x
  2. Step 2: Convert to fraction form
    5,323.24/7,989.90 = 2,728/x
  3. Step 3: Cross multiply
    5,323.24x = 7,989.90 × 2,728
  4. Step 4: Simplify right side
    5,323.24x = 21,796,447.20
  5. Step 5: Solve for x
    x = 21,796,447.20/5,323.24
  6. Step 6: Final answer
    x = 4,094.58

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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.