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Finding the Fourth Proportional to 8,832.12, 12,181.22 and 7,767.60

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Solution

The fourth proportional to 8,832.12, 12,181.22 and 7,767.60 is: 10,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.12 : 12,181.22 = 7,767.60 : x
  2. Step 2: Convert to fraction form
    8,832.12/12,181.22 = 7,767.60/x
  3. Step 3: Cross multiply
    8,832.12x = 12,181.22 × 7,767.60
  4. Step 4: Simplify right side
    8,832.12x = 94,618,844.47
  5. Step 5: Solve for x
    x = 94,618,844.47/8,832.12
  6. Step 6: Final answer
    x = 10,713.04

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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.