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Finding the Fourth Proportional to 19,783.44, 29,664.48 and 8,105.04

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Solution

The fourth proportional to 19,783.44, 29,664.48 and 8,105.04 is: 12,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.44 : 29,664.48 = 8,105.04 : x
  2. Step 2: Convert to fraction form
    19,783.44/29,664.48 = 8,105.04/x
  3. Step 3: Cross multiply
    19,783.44x = 29,664.48 × 8,105.04
  4. Step 4: Simplify right side
    19,783.44x = 240,431,796.98
  5. Step 5: Solve for x
    x = 240,431,796.98/19,783.44
  6. Step 6: Final answer
    x = 12,153.18

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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.