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Finding the Fourth Proportional to 7,940.73, 11,894.94 and 5,158.96

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Solution

The fourth proportional to 7,940.73, 11,894.94 and 5,158.96 is: 7,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.73 : 11,894.94 = 5,158.96 : x
  2. Step 2: Convert to fraction form
    7,940.73/11,894.94 = 5,158.96/x
  3. Step 3: Cross multiply
    7,940.73x = 11,894.94 × 5,158.96
  4. Step 4: Simplify right side
    7,940.73x = 61,365,519.66
  5. Step 5: Solve for x
    x = 61,365,519.66/7,940.73
  6. Step 6: Final answer
    x = 7,727.94

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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.