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Finding the Fourth Proportional to 6,809.69, 9,397.36 and 3,979.01

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Solution

The fourth proportional to 6,809.69, 9,397.36 and 3,979.01 is: 5,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.69 : 9,397.36 = 3,979.01 : x
  2. Step 2: Convert to fraction form
    6,809.69/9,397.36 = 3,979.01/x
  3. Step 3: Cross multiply
    6,809.69x = 9,397.36 × 3,979.01
  4. Step 4: Simplify right side
    6,809.69x = 37,392,189.41
  5. Step 5: Solve for x
    x = 37,392,189.41/6,809.69
  6. Step 6: Final answer
    x = 5,491.03

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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.