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Finding the Fourth Proportional to 7,855.38, 11,788.46 and 3,238.38

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Solution

The fourth proportional to 7,855.38, 11,788.46 and 3,238.38 is: 4,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.38 : 11,788.46 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    7,855.38/11,788.46 = 3,238.38/x
  3. Step 3: Cross multiply
    7,855.38x = 11,788.46 × 3,238.38
  4. Step 4: Simplify right side
    7,855.38x = 38,175,513.09
  5. Step 5: Solve for x
    x = 38,175,513.09/7,855.38
  6. Step 6: Final answer
    x = 4,859.79

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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.