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Finding the Fourth Proportional to 7,922, 11,881.20 and 2,992.16

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Solution

The fourth proportional to 7,922, 11,881.20 and 2,992.16 is: 4,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 11,881.20 = 2,992.16 : x
  2. Step 2: Convert to fraction form
    7,922/11,881.20 = 2,992.16/x
  3. Step 3: Cross multiply
    7,922x = 11,881.20 × 2,992.16
  4. Step 4: Simplify right side
    7,922x = 35,550,451.39
  5. Step 5: Solve for x
    x = 35,550,451.39/7,922
  6. Step 6: Final answer
    x = 4,487.56

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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.