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Finding the Fourth Proportional to 13,896, 20,847.24 and 4,662

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Solution

The fourth proportional to 13,896, 20,847.24 and 4,662 is: 6,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896 : 20,847.24 = 4,662 : x
  2. Step 2: Convert to fraction form
    13,896/20,847.24 = 4,662/x
  3. Step 3: Cross multiply
    13,896x = 20,847.24 × 4,662
  4. Step 4: Simplify right side
    13,896x = 97,189,832.88
  5. Step 5: Solve for x
    x = 97,189,832.88/13,896
  6. Step 6: Final answer
    x = 6,994.09

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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.