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Finding the Fourth Proportional to 13,180, 19,770 and 3,946

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Solution

The fourth proportional to 13,180, 19,770 and 3,946 is: 5,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 19,770 = 3,946 : x
  2. Step 2: Convert to fraction form
    13,180/19,770 = 3,946/x
  3. Step 3: Cross multiply
    13,180x = 19,770 × 3,946
  4. Step 4: Simplify right side
    13,180x = 78,012,420
  5. Step 5: Solve for x
    x = 78,012,420/13,180
  6. Step 6: Final answer
    x = 5,919

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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.