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Finding the Fourth Proportional to 6,427.81, 9,645.36 and 3,968.65

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Solution

The fourth proportional to 6,427.81, 9,645.36 and 3,968.65 is: 5,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.81 : 9,645.36 = 3,968.65 : x
  2. Step 2: Convert to fraction form
    6,427.81/9,645.36 = 3,968.65/x
  3. Step 3: Cross multiply
    6,427.81x = 9,645.36 × 3,968.65
  4. Step 4: Simplify right side
    6,427.81x = 38,279,057.96
  5. Step 5: Solve for x
    x = 38,279,057.96/6,427.81
  6. Step 6: Final answer
    x = 5,955.23

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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.