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Finding the Fourth Proportional to 6,446.08, 9,668 and 1,828

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Solution

The fourth proportional to 6,446.08, 9,668 and 1,828 is: 2,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.08 : 9,668 = 1,828 : x
  2. Step 2: Convert to fraction form
    6,446.08/9,668 = 1,828/x
  3. Step 3: Cross multiply
    6,446.08x = 9,668 × 1,828
  4. Step 4: Simplify right side
    6,446.08x = 17,673,104
  5. Step 5: Solve for x
    x = 17,673,104/6,446.08
  6. Step 6: Final answer
    x = 2,741.68

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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.