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Finding the Fourth Proportional to 6,438.26, 9,659 and 1,821.26

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Solution

The fourth proportional to 6,438.26, 9,659 and 1,821.26 is: 2,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.26 : 9,659 = 1,821.26 : x
  2. Step 2: Convert to fraction form
    6,438.26/9,659 = 1,821.26/x
  3. Step 3: Cross multiply
    6,438.26x = 9,659 × 1,821.26
  4. Step 4: Simplify right side
    6,438.26x = 17,591,550.34
  5. Step 5: Solve for x
    x = 17,591,550.34/6,438.26
  6. Step 6: Final answer
    x = 2,732.35

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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.