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Finding the Fourth Proportional to 13,108, 19,662 and 3,380

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Solution

The fourth proportional to 13,108, 19,662 and 3,380 is: 5,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108 : 19,662 = 3,380 : x
  2. Step 2: Convert to fraction form
    13,108/19,662 = 3,380/x
  3. Step 3: Cross multiply
    13,108x = 19,662 × 3,380
  4. Step 4: Simplify right side
    13,108x = 66,457,560
  5. Step 5: Solve for x
    x = 66,457,560/13,108
  6. Step 6: Final answer
    x = 5,070

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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.