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Finding the Fourth Proportional to 17,620, 26,430 and 6,676

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Solution

The fourth proportional to 17,620, 26,430 and 6,676 is: 10,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620 : 26,430 = 6,676 : x
  2. Step 2: Convert to fraction form
    17,620/26,430 = 6,676/x
  3. Step 3: Cross multiply
    17,620x = 26,430 × 6,676
  4. Step 4: Simplify right side
    17,620x = 176,446,680
  5. Step 5: Solve for x
    x = 176,446,680/17,620
  6. Step 6: Final answer
    x = 10,014

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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.