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Finding the Fourth Proportional to 7,993.74, 11,992.12 and 3,830.92

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Solution

The fourth proportional to 7,993.74, 11,992.12 and 3,830.92 is: 5,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.74 : 11,992.12 = 3,830.92 : x
  2. Step 2: Convert to fraction form
    7,993.74/11,992.12 = 3,830.92/x
  3. Step 3: Cross multiply
    7,993.74x = 11,992.12 × 3,830.92
  4. Step 4: Simplify right side
    7,993.74x = 45,940,852.35
  5. Step 5: Solve for x
    x = 45,940,852.35/7,993.74
  6. Step 6: Final answer
    x = 5,747.10

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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.