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Finding the Fourth Proportional to 13,405.68, 18,493.41 and 8,024.43

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Solution

The fourth proportional to 13,405.68, 18,493.41 and 8,024.43 is: 11,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.68 : 18,493.41 = 8,024.43 : x
  2. Step 2: Convert to fraction form
    13,405.68/18,493.41 = 8,024.43/x
  3. Step 3: Cross multiply
    13,405.68x = 18,493.41 × 8,024.43
  4. Step 4: Simplify right side
    13,405.68x = 148,399,074.01
  5. Step 5: Solve for x
    x = 148,399,074.01/13,405.68
  6. Step 6: Final answer
    x = 11,069.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.