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Finding the Fourth Proportional to 3,942.79, 5,903.25 and 1,990.89

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Solution

The fourth proportional to 3,942.79, 5,903.25 and 1,990.89 is: 2,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.79 : 5,903.25 = 1,990.89 : x
  2. Step 2: Convert to fraction form
    3,942.79/5,903.25 = 1,990.89/x
  3. Step 3: Cross multiply
    3,942.79x = 5,903.25 × 1,990.89
  4. Step 4: Simplify right side
    3,942.79x = 11,752,713.93
  5. Step 5: Solve for x
    x = 11,752,713.93/3,942.79
  6. Step 6: Final answer
    x = 2,980.81

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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.