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Finding the Fourth Proportional to 14,597.20, 20,143.84 and 8,309.44

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Solution

The fourth proportional to 14,597.20, 20,143.84 and 8,309.44 is: 11,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.20 : 20,143.84 = 8,309.44 : x
  2. Step 2: Convert to fraction form
    14,597.20/20,143.84 = 8,309.44/x
  3. Step 3: Cross multiply
    14,597.20x = 20,143.84 × 8,309.44
  4. Step 4: Simplify right side
    14,597.20x = 167,384,029.85
  5. Step 5: Solve for x
    x = 167,384,029.85/14,597.20
  6. Step 6: Final answer
    x = 11,466.86

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