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Finding the Fourth Proportional to 7,181.17, 10,771.77 and 3,289.93

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Solution

The fourth proportional to 7,181.17, 10,771.77 and 3,289.93 is: 4,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.17 : 10,771.77 = 3,289.93 : x
  2. Step 2: Convert to fraction form
    7,181.17/10,771.77 = 3,289.93/x
  3. Step 3: Cross multiply
    7,181.17x = 10,771.77 × 3,289.93
  4. Step 4: Simplify right side
    7,181.17x = 35,438,369.28
  5. Step 5: Solve for x
    x = 35,438,369.28/7,181.17
  6. Step 6: Final answer
    x = 4,934.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.