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Finding the Fourth Proportional to 6,820.66, 9,409.18 and 4,163.46

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Solution

The fourth proportional to 6,820.66, 9,409.18 and 4,163.46 is: 5,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.66 : 9,409.18 = 4,163.46 : x
  2. Step 2: Convert to fraction form
    6,820.66/9,409.18 = 4,163.46/x
  3. Step 3: Cross multiply
    6,820.66x = 9,409.18 × 4,163.46
  4. Step 4: Simplify right side
    6,820.66x = 39,174,744.56
  5. Step 5: Solve for x
    x = 39,174,744.56/6,820.66
  6. Step 6: Final answer
    x = 5,743.54

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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.