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Finding the Fourth Proportional to 6,191.42, 9,289.50 and 3,728

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Solution

The fourth proportional to 6,191.42, 9,289.50 and 3,728 is: 5,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.42 : 9,289.50 = 3,728 : x
  2. Step 2: Convert to fraction form
    6,191.42/9,289.50 = 3,728/x
  3. Step 3: Cross multiply
    6,191.42x = 9,289.50 × 3,728
  4. Step 4: Simplify right side
    6,191.42x = 34,631,256
  5. Step 5: Solve for x
    x = 34,631,256/6,191.42
  6. Step 6: Final answer
    x = 5,593.43

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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.