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Finding the Fourth Proportional to 7,844, 11,768.24 and 3,896.46

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Solution

The fourth proportional to 7,844, 11,768.24 and 3,896.46 is: 5,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 11,768.24 = 3,896.46 : x
  2. Step 2: Convert to fraction form
    7,844/11,768.24 = 3,896.46/x
  3. Step 3: Cross multiply
    7,844x = 11,768.24 × 3,896.46
  4. Step 4: Simplify right side
    7,844x = 45,854,476.43
  5. Step 5: Solve for x
    x = 45,854,476.43/7,844
  6. Step 6: Final answer
    x = 5,845.80

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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.