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Finding the Fourth Proportional to 13,614.41, 20,416.39 and 8,069.29

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Solution

The fourth proportional to 13,614.41, 20,416.39 and 8,069.29 is: 12,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.41 : 20,416.39 = 8,069.29 : x
  2. Step 2: Convert to fraction form
    13,614.41/20,416.39 = 8,069.29/x
  3. Step 3: Cross multiply
    13,614.41x = 20,416.39 × 8,069.29
  4. Step 4: Simplify right side
    13,614.41x = 164,745,700.45
  5. Step 5: Solve for x
    x = 164,745,700.45/13,614.41
  6. Step 6: Final answer
    x = 12,100.83

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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.