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Finding the Fourth Proportional to 8,022.62, 11,074.30 and 7,181.84

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Solution

The fourth proportional to 8,022.62, 11,074.30 and 7,181.84 is: 9,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.62 : 11,074.30 = 7,181.84 : x
  2. Step 2: Convert to fraction form
    8,022.62/11,074.30 = 7,181.84/x
  3. Step 3: Cross multiply
    8,022.62x = 11,074.30 × 7,181.84
  4. Step 4: Simplify right side
    8,022.62x = 79,533,860.44
  5. Step 5: Solve for x
    x = 79,533,860.44/8,022.62
  6. Step 6: Final answer
    x = 9,913.70

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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.