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Finding the Fourth Proportional to 13,380.95, 20,102.63 and 11,512.63

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Solution

The fourth proportional to 13,380.95, 20,102.63 and 11,512.63 is: 17,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.95 : 20,102.63 = 11,512.63 : x
  2. Step 2: Convert to fraction form
    13,380.95/20,102.63 = 11,512.63/x
  3. Step 3: Cross multiply
    13,380.95x = 20,102.63 × 11,512.63
  4. Step 4: Simplify right side
    13,380.95x = 231,434,173.54
  5. Step 5: Solve for x
    x = 231,434,173.54/13,380.95
  6. Step 6: Final answer
    x = 17,295.80

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1.5x scale

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.