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Finding the Fourth Proportional to 7,951.93, 11,929.39 and 3,208.46

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Solution

The fourth proportional to 7,951.93, 11,929.39 and 3,208.46 is: 4,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.93 : 11,929.39 = 3,208.46 : x
  2. Step 2: Convert to fraction form
    7,951.93/11,929.39 = 3,208.46/x
  3. Step 3: Cross multiply
    7,951.93x = 11,929.39 × 3,208.46
  4. Step 4: Simplify right side
    7,951.93x = 38,274,902.97
  5. Step 5: Solve for x
    x = 38,274,902.97/7,951.93
  6. Step 6: Final answer
    x = 4,813.29

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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.