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Finding the Fourth Proportional to 3,942, 5,913 and 1,206

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Solution

The fourth proportional to 3,942, 5,913 and 1,206 is: 1,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 5,913 = 1,206 : x
  2. Step 2: Convert to fraction form
    3,942/5,913 = 1,206/x
  3. Step 3: Cross multiply
    3,942x = 5,913 × 1,206
  4. Step 4: Simplify right side
    3,942x = 7,131,078
  5. Step 5: Solve for x
    x = 7,131,078/3,942
  6. Step 6: Final answer
    x = 1,809

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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.