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Finding the Fourth Proportional to 6,481.50, 9,721.78 and 3,699.45

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Solution

The fourth proportional to 6,481.50, 9,721.78 and 3,699.45 is: 5,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.50 : 9,721.78 = 3,699.45 : x
  2. Step 2: Convert to fraction form
    6,481.50/9,721.78 = 3,699.45/x
  3. Step 3: Cross multiply
    6,481.50x = 9,721.78 × 3,699.45
  4. Step 4: Simplify right side
    6,481.50x = 35,965,190.41
  5. Step 5: Solve for x
    x = 35,965,190.41/6,481.50
  6. Step 6: Final answer
    x = 5,548.90

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1.5x scale

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.