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Finding the Fourth Proportional to 28,756, 43,134 and 7,979.50

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Solution

The fourth proportional to 28,756, 43,134 and 7,979.50 is: 11,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,756 : 43,134 = 7,979.50 : x
  2. Step 2: Convert to fraction form
    28,756/43,134 = 7,979.50/x
  3. Step 3: Cross multiply
    28,756x = 43,134 × 7,979.50
  4. Step 4: Simplify right side
    28,756x = 344,187,753
  5. Step 5: Solve for x
    x = 344,187,753/28,756
  6. Step 6: Final answer
    x = 11,969.25

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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.