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Finding the Fourth Proportional to 19,188, 28,795.05 and 6,876

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Solution

The fourth proportional to 19,188, 28,795.05 and 6,876 is: 10,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 28,795.05 = 6,876 : x
  2. Step 2: Convert to fraction form
    19,188/28,795.05 = 6,876/x
  3. Step 3: Cross multiply
    19,188x = 28,795.05 × 6,876
  4. Step 4: Simplify right side
    19,188x = 197,994,763.80
  5. Step 5: Solve for x
    x = 197,994,763.80/19,188
  6. Step 6: Final answer
    x = 10,318.68

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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.