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Finding the Fourth Proportional to 7,992.90, 11,981.24 and 3,826.80

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Solution

The fourth proportional to 7,992.90, 11,981.24 and 3,826.80 is: 5,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.90 : 11,981.24 = 3,826.80 : x
  2. Step 2: Convert to fraction form
    7,992.90/11,981.24 = 3,826.80/x
  3. Step 3: Cross multiply
    7,992.90x = 11,981.24 × 3,826.80
  4. Step 4: Simplify right side
    7,992.90x = 45,849,809.23
  5. Step 5: Solve for x
    x = 45,849,809.23/7,992.90
  6. Step 6: Final answer
    x = 5,736.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.