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Finding the Fourth Proportional to 7,843.23, 11,768.49 and 4,919.94

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Solution

The fourth proportional to 7,843.23, 11,768.49 and 4,919.94 is: 7,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.23 : 11,768.49 = 4,919.94 : x
  2. Step 2: Convert to fraction form
    7,843.23/11,768.49 = 4,919.94/x
  3. Step 3: Cross multiply
    7,843.23x = 11,768.49 × 4,919.94
  4. Step 4: Simplify right side
    7,843.23x = 57,900,264.69
  5. Step 5: Solve for x
    x = 57,900,264.69/7,843.23
  6. Step 6: Final answer
    x = 7,382.20

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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.