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Finding the Fourth Proportional to 6,826.40, 9,420.74 and 3,843.26

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Solution

The fourth proportional to 6,826.40, 9,420.74 and 3,843.26 is: 5,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.40 : 9,420.74 = 3,843.26 : x
  2. Step 2: Convert to fraction form
    6,826.40/9,420.74 = 3,843.26/x
  3. Step 3: Cross multiply
    6,826.40x = 9,420.74 × 3,843.26
  4. Step 4: Simplify right side
    6,826.40x = 36,206,353.21
  5. Step 5: Solve for x
    x = 36,206,353.21/6,826.40
  6. Step 6: Final answer
    x = 5,303.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.