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Finding the Fourth Proportional to 7,974.72, 11,958.44 and 2,779.38

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Solution

The fourth proportional to 7,974.72, 11,958.44 and 2,779.38 is: 4,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.72 : 11,958.44 = 2,779.38 : x
  2. Step 2: Convert to fraction form
    7,974.72/11,958.44 = 2,779.38/x
  3. Step 3: Cross multiply
    7,974.72x = 11,958.44 × 2,779.38
  4. Step 4: Simplify right side
    7,974.72x = 33,237,035.07
  5. Step 5: Solve for x
    x = 33,237,035.07/7,974.72
  6. Step 6: Final answer
    x = 4,167.80

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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.