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Finding the Fourth Proportional to 18,939.75, 28,410.80 and 7,847.30

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Solution

The fourth proportional to 18,939.75, 28,410.80 and 7,847.30 is: 11,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,939.75 : 28,410.80 = 7,847.30 : x
  2. Step 2: Convert to fraction form
    18,939.75/28,410.80 = 7,847.30/x
  3. Step 3: Cross multiply
    18,939.75x = 28,410.80 × 7,847.30
  4. Step 4: Simplify right side
    18,939.75x = 222,948,070.84
  5. Step 5: Solve for x
    x = 222,948,070.84/18,939.75
  6. Step 6: Final answer
    x = 11,771.44

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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.