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Finding the Fourth Proportional to 3,942.98, 5,914.62 and 1,477.54

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Solution

The fourth proportional to 3,942.98, 5,914.62 and 1,477.54 is: 2,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.98 : 5,914.62 = 1,477.54 : x
  2. Step 2: Convert to fraction form
    3,942.98/5,914.62 = 1,477.54/x
  3. Step 3: Cross multiply
    3,942.98x = 5,914.62 × 1,477.54
  4. Step 4: Simplify right side
    3,942.98x = 8,739,087.63
  5. Step 5: Solve for x
    x = 8,739,087.63/3,942.98
  6. Step 6: Final answer
    x = 2,216.37

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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.