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Finding the Fourth Proportional to 14,920, 20,589.60 and 8,296

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Solution

The fourth proportional to 14,920, 20,589.60 and 8,296 is: 11,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920 : 20,589.60 = 8,296 : x
  2. Step 2: Convert to fraction form
    14,920/20,589.60 = 8,296/x
  3. Step 3: Cross multiply
    14,920x = 20,589.60 × 8,296
  4. Step 4: Simplify right side
    14,920x = 170,811,321.60
  5. Step 5: Solve for x
    x = 170,811,321.60/14,920
  6. Step 6: Final answer
    x = 11,448.48

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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.