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Finding the Fourth Proportional to 13,920, 20,880 and 4,686

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Solution

The fourth proportional to 13,920, 20,880 and 4,686 is: 7,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 20,880 = 4,686 : x
  2. Step 2: Convert to fraction form
    13,920/20,880 = 4,686/x
  3. Step 3: Cross multiply
    13,920x = 20,880 × 4,686
  4. Step 4: Simplify right side
    13,920x = 97,843,680
  5. Step 5: Solve for x
    x = 97,843,680/13,920
  6. Step 6: Final answer
    x = 7,029

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.