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Finding the Fourth Proportional to 3,906.54, 5,860.42 and 1,308.87

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Solution

The fourth proportional to 3,906.54, 5,860.42 and 1,308.87 is: 1,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.54 : 5,860.42 = 1,308.87 : x
  2. Step 2: Convert to fraction form
    3,906.54/5,860.42 = 1,308.87/x
  3. Step 3: Cross multiply
    3,906.54x = 5,860.42 × 1,308.87
  4. Step 4: Simplify right side
    3,906.54x = 7,670,524.65
  5. Step 5: Solve for x
    x = 7,670,524.65/3,906.54
  6. Step 6: Final answer
    x = 1,963.51

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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.