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Finding the Fourth Proportional to 7,912, 11,850.16 and 5,939.84

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Solution

The fourth proportional to 7,912, 11,850.16 and 5,939.84 is: 8,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912 : 11,850.16 = 5,939.84 : x
  2. Step 2: Convert to fraction form
    7,912/11,850.16 = 5,939.84/x
  3. Step 3: Cross multiply
    7,912x = 11,850.16 × 5,939.84
  4. Step 4: Simplify right side
    7,912x = 70,388,054.37
  5. Step 5: Solve for x
    x = 70,388,054.37/7,912
  6. Step 6: Final answer
    x = 8,896.37

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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.