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Finding the Fourth Proportional to 13,910, 20,865 and 4,676

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Solution

The fourth proportional to 13,910, 20,865 and 4,676 is: 7,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910 : 20,865 = 4,676 : x
  2. Step 2: Convert to fraction form
    13,910/20,865 = 4,676/x
  3. Step 3: Cross multiply
    13,910x = 20,865 × 4,676
  4. Step 4: Simplify right side
    13,910x = 97,564,740
  5. Step 5: Solve for x
    x = 97,564,740/13,910
  6. Step 6: Final answer
    x = 7,014

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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.