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Finding the Fourth Proportional to 6,409.97, 9,609.23 and 3,450

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Solution

The fourth proportional to 6,409.97, 9,609.23 and 3,450 is: 5,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.97 : 9,609.23 = 3,450 : x
  2. Step 2: Convert to fraction form
    6,409.97/9,609.23 = 3,450/x
  3. Step 3: Cross multiply
    6,409.97x = 9,609.23 × 3,450
  4. Step 4: Simplify right side
    6,409.97x = 33,151,843.50
  5. Step 5: Solve for x
    x = 33,151,843.50/6,409.97
  6. Step 6: Final answer
    x = 5,171.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.