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Finding the Fourth Proportional to 3,433.80, 5,145.20 and 3,342.68

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Solution

The fourth proportional to 3,433.80, 5,145.20 and 3,342.68 is: 5,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.80 : 5,145.20 = 3,342.68 : x
  2. Step 2: Convert to fraction form
    3,433.80/5,145.20 = 3,342.68/x
  3. Step 3: Cross multiply
    3,433.80x = 5,145.20 × 3,342.68
  4. Step 4: Simplify right side
    3,433.80x = 17,198,757.14
  5. Step 5: Solve for x
    x = 17,198,757.14/3,433.80
  6. Step 6: Final answer
    x = 5,008.67

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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.