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Finding the Fourth Proportional to 5,942.32, 8,197.68 and 3,847.12

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Solution

The fourth proportional to 5,942.32, 8,197.68 and 3,847.12 is: 5,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.32 : 8,197.68 = 3,847.12 : x
  2. Step 2: Convert to fraction form
    5,942.32/8,197.68 = 3,847.12/x
  3. Step 3: Cross multiply
    5,942.32x = 8,197.68 × 3,847.12
  4. Step 4: Simplify right side
    5,942.32x = 31,537,458.68
  5. Step 5: Solve for x
    x = 31,537,458.68/5,942.32
  6. Step 6: Final answer
    x = 5,307.26

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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.