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Finding the Fourth Proportional to 7,940.72, 10,954.60 and 4,957.29

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Solution

The fourth proportional to 7,940.72, 10,954.60 and 4,957.29 is: 6,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.72 : 10,954.60 = 4,957.29 : x
  2. Step 2: Convert to fraction form
    7,940.72/10,954.60 = 4,957.29/x
  3. Step 3: Cross multiply
    7,940.72x = 10,954.60 × 4,957.29
  4. Step 4: Simplify right side
    7,940.72x = 54,305,129.03
  5. Step 5: Solve for x
    x = 54,305,129.03/7,940.72
  6. Step 6: Final answer
    x = 6,838.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.