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Finding the Fourth Proportional to 13,912.56, 20,862.03 and 6,884.46

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Solution

The fourth proportional to 13,912.56, 20,862.03 and 6,884.46 is: 10,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.56 : 20,862.03 = 6,884.46 : x
  2. Step 2: Convert to fraction form
    13,912.56/20,862.03 = 6,884.46/x
  3. Step 3: Cross multiply
    13,912.56x = 20,862.03 × 6,884.46
  4. Step 4: Simplify right side
    13,912.56x = 143,623,811.05
  5. Step 5: Solve for x
    x = 143,623,811.05/13,912.56
  6. Step 6: Final answer
    x = 10,323.32

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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.