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Finding the Fourth Proportional to 6,865.22, 9,474 and 3,721.41

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Solution

The fourth proportional to 6,865.22, 9,474 and 3,721.41 is: 5,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.22 : 9,474 = 3,721.41 : x
  2. Step 2: Convert to fraction form
    6,865.22/9,474 = 3,721.41/x
  3. Step 3: Cross multiply
    6,865.22x = 9,474 × 3,721.41
  4. Step 4: Simplify right side
    6,865.22x = 35,256,638.34
  5. Step 5: Solve for x
    x = 35,256,638.34/6,865.22
  6. Step 6: Final answer
    x = 5,135.54

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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.