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Finding the Fourth Proportional to 8,043, 12,068.82 and 3,939

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Solution

The fourth proportional to 8,043, 12,068.82 and 3,939 is: 5,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043 : 12,068.82 = 3,939 : x
  2. Step 2: Convert to fraction form
    8,043/12,068.82 = 3,939/x
  3. Step 3: Cross multiply
    8,043x = 12,068.82 × 3,939
  4. Step 4: Simplify right side
    8,043x = 47,539,081.98
  5. Step 5: Solve for x
    x = 47,539,081.98/8,043
  6. Step 6: Final answer
    x = 5,910.62

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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.