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Finding the Fourth Proportional to 3,199.08, 4,800.42 and 1,467.84

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Solution

The fourth proportional to 3,199.08, 4,800.42 and 1,467.84 is: 2,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.08 : 4,800.42 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    3,199.08/4,800.42 = 1,467.84/x
  3. Step 3: Cross multiply
    3,199.08x = 4,800.42 × 1,467.84
  4. Step 4: Simplify right side
    3,199.08x = 7,046,248.49
  5. Step 5: Solve for x
    x = 7,046,248.49/3,199.08
  6. Step 6: Final answer
    x = 2,202.59

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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.