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Finding the Fourth Proportional to 6,406.66, 9,608.06 and 3,443.28

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Solution

The fourth proportional to 6,406.66, 9,608.06 and 3,443.28 is: 5,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.66 : 9,608.06 = 3,443.28 : x
  2. Step 2: Convert to fraction form
    6,406.66/9,608.06 = 3,443.28/x
  3. Step 3: Cross multiply
    6,406.66x = 9,608.06 × 3,443.28
  4. Step 4: Simplify right side
    6,406.66x = 33,083,240.84
  5. Step 5: Solve for x
    x = 33,083,240.84/6,406.66
  6. Step 6: Final answer
    x = 5,163.88

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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.