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Finding the Fourth Proportional to 5,279.94, 7,916.67 and 3,896.64

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Solution

The fourth proportional to 5,279.94, 7,916.67 and 3,896.64 is: 5,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.94 : 7,916.67 = 3,896.64 : x
  2. Step 2: Convert to fraction form
    5,279.94/7,916.67 = 3,896.64/x
  3. Step 3: Cross multiply
    5,279.94x = 7,916.67 × 3,896.64
  4. Step 4: Simplify right side
    5,279.94x = 30,848,412.99
  5. Step 5: Solve for x
    x = 30,848,412.99/5,279.94
  6. Step 6: Final answer
    x = 5,842.57

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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.