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Finding the Fourth Proportional to 7,858.94, 11,796.61 and 3,479.48

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Solution

The fourth proportional to 7,858.94, 11,796.61 and 3,479.48 is: 5,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.94 : 11,796.61 = 3,479.48 : x
  2. Step 2: Convert to fraction form
    7,858.94/11,796.61 = 3,479.48/x
  3. Step 3: Cross multiply
    7,858.94x = 11,796.61 × 3,479.48
  4. Step 4: Simplify right side
    7,858.94x = 41,046,068.56
  5. Step 5: Solve for x
    x = 41,046,068.56/7,858.94
  6. Step 6: Final answer
    x = 5,222.85

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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.