Home / 7,984.82-11,958.95-3,827.76

Finding the Fourth Proportional to 7,984.82, 11,958.95 and 3,827.76

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Solution

The fourth proportional to 7,984.82, 11,958.95 and 3,827.76 is: 5,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.82 : 11,958.95 = 3,827.76 : x
  2. Step 2: Convert to fraction form
    7,984.82/11,958.95 = 3,827.76/x
  3. Step 3: Cross multiply
    7,984.82x = 11,958.95 × 3,827.76
  4. Step 4: Simplify right side
    7,984.82x = 45,775,971.31
  5. Step 5: Solve for x
    x = 45,775,971.31/7,984.82
  6. Step 6: Final answer
    x = 5,732.88

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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.