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Finding the Fourth Proportional to 3,106.99, 4,660.80 and 1,027

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Solution

The fourth proportional to 3,106.99, 4,660.80 and 1,027 is: 1,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.99 : 4,660.80 = 1,027 : x
  2. Step 2: Convert to fraction form
    3,106.99/4,660.80 = 1,027/x
  3. Step 3: Cross multiply
    3,106.99x = 4,660.80 × 1,027
  4. Step 4: Simplify right side
    3,106.99x = 4,786,641.60
  5. Step 5: Solve for x
    x = 4,786,641.60/3,106.99
  6. Step 6: Final answer
    x = 1,540.60

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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.