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Finding the Fourth Proportional to 14,554, 20,086.14 and 8,965

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Solution

The fourth proportional to 14,554, 20,086.14 and 8,965 is: 12,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554 : 20,086.14 = 8,965 : x
  2. Step 2: Convert to fraction form
    14,554/20,086.14 = 8,965/x
  3. Step 3: Cross multiply
    14,554x = 20,086.14 × 8,965
  4. Step 4: Simplify right side
    14,554x = 180,072,245.10
  5. Step 5: Solve for x
    x = 180,072,245.10/14,554
  6. Step 6: Final answer
    x = 12,372.70

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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.