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Finding the Fourth Proportional to 19,219.44, 28,828.80 and 6,736

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Solution

The fourth proportional to 19,219.44, 28,828.80 and 6,736 is: 10,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.44 : 28,828.80 = 6,736 : x
  2. Step 2: Convert to fraction form
    19,219.44/28,828.80 = 6,736/x
  3. Step 3: Cross multiply
    19,219.44x = 28,828.80 × 6,736
  4. Step 4: Simplify right side
    19,219.44x = 194,190,796.80
  5. Step 5: Solve for x
    x = 194,190,796.80/19,219.44
  6. Step 6: Final answer
    x = 10,103.87

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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.