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Finding the Fourth Proportional to 13,726, 20,589.18 and 4,492

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Solution

The fourth proportional to 13,726, 20,589.18 and 4,492 is: 6,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726 : 20,589.18 = 4,492 : x
  2. Step 2: Convert to fraction form
    13,726/20,589.18 = 4,492/x
  3. Step 3: Cross multiply
    13,726x = 20,589.18 × 4,492
  4. Step 4: Simplify right side
    13,726x = 92,486,596.56
  5. Step 5: Solve for x
    x = 92,486,596.56/13,726
  6. Step 6: Final answer
    x = 6,738.06

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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.