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Finding the Fourth Proportional to 3,906.82, 5,860.03 and 984.95

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Solution

The fourth proportional to 3,906.82, 5,860.03 and 984.95 is: 1,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.82 : 5,860.03 = 984.95 : x
  2. Step 2: Convert to fraction form
    3,906.82/5,860.03 = 984.95/x
  3. Step 3: Cross multiply
    3,906.82x = 5,860.03 × 984.95
  4. Step 4: Simplify right side
    3,906.82x = 5,771,836.55
  5. Step 5: Solve for x
    x = 5,771,836.55/3,906.82
  6. Step 6: Final answer
    x = 1,477.37

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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.