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Finding the Fourth Proportional to 5,942.68, 8,200 and 3,290.20

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Solution

The fourth proportional to 5,942.68, 8,200 and 3,290.20 is: 4,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.68 : 8,200 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    5,942.68/8,200 = 3,290.20/x
  3. Step 3: Cross multiply
    5,942.68x = 8,200 × 3,290.20
  4. Step 4: Simplify right side
    5,942.68x = 26,979,640
  5. Step 5: Solve for x
    x = 26,979,640/5,942.68
  6. Step 6: Final answer
    x = 4,539.98

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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.