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Finding the Fourth Proportional to 13,843.56, 20,770.20 and 8,643.36

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Solution

The fourth proportional to 13,843.56, 20,770.20 and 8,643.36 is: 12,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.56 : 20,770.20 = 8,643.36 : x
  2. Step 2: Convert to fraction form
    13,843.56/20,770.20 = 8,643.36/x
  3. Step 3: Cross multiply
    13,843.56x = 20,770.20 × 8,643.36
  4. Step 4: Simplify right side
    13,843.56x = 179,524,315.87
  5. Step 5: Solve for x
    x = 179,524,315.87/13,843.56
  6. Step 6: Final answer
    x = 12,968.07

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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.