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Finding the Fourth Proportional to 7,912.14, 11,861.64 and 2,979.06

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Solution

The fourth proportional to 7,912.14, 11,861.64 and 2,979.06 is: 4,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.14 : 11,861.64 = 2,979.06 : x
  2. Step 2: Convert to fraction form
    7,912.14/11,861.64 = 2,979.06/x
  3. Step 3: Cross multiply
    7,912.14x = 11,861.64 × 2,979.06
  4. Step 4: Simplify right side
    7,912.14x = 35,336,537.26
  5. Step 5: Solve for x
    x = 35,336,537.26/7,912.14
  6. Step 6: Final answer
    x = 4,466.12

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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.