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Finding the Fourth Proportional to 6,830.40, 9,426.42 and 3,806

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Solution

The fourth proportional to 6,830.40, 9,426.42 and 3,806 is: 5,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.40 : 9,426.42 = 3,806 : x
  2. Step 2: Convert to fraction form
    6,830.40/9,426.42 = 3,806/x
  3. Step 3: Cross multiply
    6,830.40x = 9,426.42 × 3,806
  4. Step 4: Simplify right side
    6,830.40x = 35,876,954.52
  5. Step 5: Solve for x
    x = 35,876,954.52/6,830.40
  6. Step 6: Final answer
    x = 5,252.54

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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.