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Finding the Fourth Proportional to 7,832.78, 11,753.34 and 3,453.32

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Solution

The fourth proportional to 7,832.78, 11,753.34 and 3,453.32 is: 5,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.78 : 11,753.34 = 3,453.32 : x
  2. Step 2: Convert to fraction form
    7,832.78/11,753.34 = 3,453.32/x
  3. Step 3: Cross multiply
    7,832.78x = 11,753.34 × 3,453.32
  4. Step 4: Simplify right side
    7,832.78x = 40,588,044.09
  5. Step 5: Solve for x
    x = 40,588,044.09/7,832.78
  6. Step 6: Final answer
    x = 5,181.82

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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.