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Finding the Fourth Proportional to 8,141.37, 12,212.10 and 3,460.20

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Solution

The fourth proportional to 8,141.37, 12,212.10 and 3,460.20 is: 5,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.37 : 12,212.10 = 3,460.20 : x
  2. Step 2: Convert to fraction form
    8,141.37/12,212.10 = 3,460.20/x
  3. Step 3: Cross multiply
    8,141.37x = 12,212.10 × 3,460.20
  4. Step 4: Simplify right side
    8,141.37x = 42,256,308.42
  5. Step 5: Solve for x
    x = 42,256,308.42/8,141.37
  6. Step 6: Final answer
    x = 5,190.32

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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.