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Finding the Fourth Proportional to 6,810.69, 9,398.79 and 3,826.65

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Solution

The fourth proportional to 6,810.69, 9,398.79 and 3,826.65 is: 5,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.69 : 9,398.79 = 3,826.65 : x
  2. Step 2: Convert to fraction form
    6,810.69/9,398.79 = 3,826.65/x
  3. Step 3: Cross multiply
    6,810.69x = 9,398.79 × 3,826.65
  4. Step 4: Simplify right side
    6,810.69x = 35,965,879.75
  5. Step 5: Solve for x
    x = 35,965,879.75/6,810.69
  6. Step 6: Final answer
    x = 5,280.80

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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.