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Finding the Fourth Proportional to 3,840.18, 5,760.50 and 1,375.26

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Solution

The fourth proportional to 3,840.18, 5,760.50 and 1,375.26 is: 2,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.18 : 5,760.50 = 1,375.26 : x
  2. Step 2: Convert to fraction form
    3,840.18/5,760.50 = 1,375.26/x
  3. Step 3: Cross multiply
    3,840.18x = 5,760.50 × 1,375.26
  4. Step 4: Simplify right side
    3,840.18x = 7,922,185.23
  5. Step 5: Solve for x
    x = 7,922,185.23/3,840.18
  6. Step 6: Final answer
    x = 2,062.97

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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.