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Finding the Fourth Proportional to 13,493.56, 20,106.20 and 12,021.40

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Solution

The fourth proportional to 13,493.56, 20,106.20 and 12,021.40 is: 17,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.56 : 20,106.20 = 12,021.40 : x
  2. Step 2: Convert to fraction form
    13,493.56/20,106.20 = 12,021.40/x
  3. Step 3: Cross multiply
    13,493.56x = 20,106.20 × 12,021.40
  4. Step 4: Simplify right side
    13,493.56x = 241,704,672.68
  5. Step 5: Solve for x
    x = 241,704,672.68/13,493.56
  6. Step 6: Final answer
    x = 17,912.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.