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Finding the Fourth Proportional to 2,857.62, 3,942.81 and 1,662.81

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Solution

The fourth proportional to 2,857.62, 3,942.81 and 1,662.81 is: 2,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.62 : 3,942.81 = 1,662.81 : x
  2. Step 2: Convert to fraction form
    2,857.62/3,942.81 = 1,662.81/x
  3. Step 3: Cross multiply
    2,857.62x = 3,942.81 × 1,662.81
  4. Step 4: Simplify right side
    2,857.62x = 6,556,129.11
  5. Step 5: Solve for x
    x = 6,556,129.11/2,857.62
  6. Step 6: Final answer
    x = 2,294.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.