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Finding the Fourth Proportional to 12,709.68, 19,067.32 and 3,945.48

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Solution

The fourth proportional to 12,709.68, 19,067.32 and 3,945.48 is: 5,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.68 : 19,067.32 = 3,945.48 : x
  2. Step 2: Convert to fraction form
    12,709.68/19,067.32 = 3,945.48/x
  3. Step 3: Cross multiply
    12,709.68x = 19,067.32 × 3,945.48
  4. Step 4: Simplify right side
    12,709.68x = 75,229,729.71
  5. Step 5: Solve for x
    x = 75,229,729.71/12,709.68
  6. Step 6: Final answer
    x = 5,919.09

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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.