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Finding the Fourth Proportional to 3,942.84, 5,908.76 and 1,992.76

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Solution

The fourth proportional to 3,942.84, 5,908.76 and 1,992.76 is: 2,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.84 : 5,908.76 = 1,992.76 : x
  2. Step 2: Convert to fraction form
    3,942.84/5,908.76 = 1,992.76/x
  3. Step 3: Cross multiply
    3,942.84x = 5,908.76 × 1,992.76
  4. Step 4: Simplify right side
    3,942.84x = 11,774,740.58
  5. Step 5: Solve for x
    x = 11,774,740.58/3,942.84
  6. Step 6: Final answer
    x = 2,986.36

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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.