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Finding the Fourth Proportional to 3,942.62, 5,913.75 and 981

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Solution

The fourth proportional to 3,942.62, 5,913.75 and 981 is: 1,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.62 : 5,913.75 = 981 : x
  2. Step 2: Convert to fraction form
    3,942.62/5,913.75 = 981/x
  3. Step 3: Cross multiply
    3,942.62x = 5,913.75 × 981
  4. Step 4: Simplify right side
    3,942.62x = 5,801,388.75
  5. Step 5: Solve for x
    x = 5,801,388.75/3,942.62
  6. Step 6: Final answer
    x = 1,471.46

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1.5x scale

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.