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Finding the Fourth Proportional to 2,485.38, 3,728.05 and 754.01

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Solution

The fourth proportional to 2,485.38, 3,728.05 and 754.01 is: 1,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.38 : 3,728.05 = 754.01 : x
  2. Step 2: Convert to fraction form
    2,485.38/3,728.05 = 754.01/x
  3. Step 3: Cross multiply
    2,485.38x = 3,728.05 × 754.01
  4. Step 4: Simplify right side
    2,485.38x = 2,810,982.56
  5. Step 5: Solve for x
    x = 2,810,982.56/2,485.38
  6. Step 6: Final answer
    x = 1,131.01

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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.