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Finding the Fourth Proportional to 13,916, 20,874 and 4,682

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Solution

The fourth proportional to 13,916, 20,874 and 4,682 is: 7,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916 : 20,874 = 4,682 : x
  2. Step 2: Convert to fraction form
    13,916/20,874 = 4,682/x
  3. Step 3: Cross multiply
    13,916x = 20,874 × 4,682
  4. Step 4: Simplify right side
    13,916x = 97,732,068
  5. Step 5: Solve for x
    x = 97,732,068/13,916
  6. Step 6: Final answer
    x = 7,023

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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.