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Finding the Fourth Proportional to 7,843.68, 11,768.40 and 7,380

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Solution

The fourth proportional to 7,843.68, 11,768.40 and 7,380 is: 11,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.68 : 11,768.40 = 7,380 : x
  2. Step 2: Convert to fraction form
    7,843.68/11,768.40 = 7,380/x
  3. Step 3: Cross multiply
    7,843.68x = 11,768.40 × 7,380
  4. Step 4: Simplify right side
    7,843.68x = 86,850,792
  5. Step 5: Solve for x
    x = 86,850,792/7,843.68
  6. Step 6: Final answer
    x = 11,072.71

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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.