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Finding the Fourth Proportional to 11,296, 15,589.44 and 6,328.96

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Solution

The fourth proportional to 11,296, 15,589.44 and 6,328.96 is: 8,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 15,589.44 = 6,328.96 : x
  2. Step 2: Convert to fraction form
    11,296/15,589.44 = 6,328.96/x
  3. Step 3: Cross multiply
    11,296x = 15,589.44 × 6,328.96
  4. Step 4: Simplify right side
    11,296x = 98,664,942.18
  5. Step 5: Solve for x
    x = 98,664,942.18/11,296
  6. Step 6: Final answer
    x = 8,734.50

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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.