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Finding the Fourth Proportional to 6,766.56, 9,338.40 and 3,782.40

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Solution

The fourth proportional to 6,766.56, 9,338.40 and 3,782.40 is: 5,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.56 : 9,338.40 = 3,782.40 : x
  2. Step 2: Convert to fraction form
    6,766.56/9,338.40 = 3,782.40/x
  3. Step 3: Cross multiply
    6,766.56x = 9,338.40 × 3,782.40
  4. Step 4: Simplify right side
    6,766.56x = 35,321,564.16
  5. Step 5: Solve for x
    x = 35,321,564.16/6,766.56
  6. Step 6: Final answer
    x = 5,220.02

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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.