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Finding the Fourth Proportional to 19,251, 28,876.50 and 6,939

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Solution

The fourth proportional to 19,251, 28,876.50 and 6,939 is: 10,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251 : 28,876.50 = 6,939 : x
  2. Step 2: Convert to fraction form
    19,251/28,876.50 = 6,939/x
  3. Step 3: Cross multiply
    19,251x = 28,876.50 × 6,939
  4. Step 4: Simplify right side
    19,251x = 200,374,033.50
  5. Step 5: Solve for x
    x = 200,374,033.50/19,251
  6. Step 6: Final answer
    x = 10,408.50

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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.