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Finding the Fourth Proportional to 3,942.75, 5,913.96 and 981.20

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Solution

The fourth proportional to 3,942.75, 5,913.96 and 981.20 is: 1,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.75 : 5,913.96 = 981.20 : x
  2. Step 2: Convert to fraction form
    3,942.75/5,913.96 = 981.20/x
  3. Step 3: Cross multiply
    3,942.75x = 5,913.96 × 981.20
  4. Step 4: Simplify right side
    3,942.75x = 5,802,747.98
  5. Step 5: Solve for x
    x = 5,802,747.98/3,942.75
  6. Step 6: Final answer
    x = 1,471.75

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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.