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Finding the Fourth Proportional to 18,917.10, 28,375.80 and 5,769.60

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Solution

The fourth proportional to 18,917.10, 28,375.80 and 5,769.60 is: 8,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.10 : 28,375.80 = 5,769.60 : x
  2. Step 2: Convert to fraction form
    18,917.10/28,375.80 = 5,769.60/x
  3. Step 3: Cross multiply
    18,917.10x = 28,375.80 × 5,769.60
  4. Step 4: Simplify right side
    18,917.10x = 163,717,015.68
  5. Step 5: Solve for x
    x = 163,717,015.68/18,917.10
  6. Step 6: Final answer
    x = 8,654.45

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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.