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Finding the Fourth Proportional to 19,850, 29,784.09 and 8,608.78

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Solution

The fourth proportional to 19,850, 29,784.09 and 8,608.78 is: 12,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 29,784.09 = 8,608.78 : x
  2. Step 2: Convert to fraction form
    19,850/29,784.09 = 8,608.78/x
  3. Step 3: Cross multiply
    19,850x = 29,784.09 × 8,608.78
  4. Step 4: Simplify right side
    19,850x = 256,404,678.31
  5. Step 5: Solve for x
    x = 256,404,678.31/19,850
  6. Step 6: Final answer
    x = 12,917.11

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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.