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Finding the Fourth Proportional to 26,251, 39,382.98 and 7,783

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Solution

The fourth proportional to 26,251, 39,382.98 and 7,783 is: 11,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251 : 39,382.98 = 7,783 : x
  2. Step 2: Convert to fraction form
    26,251/39,382.98 = 7,783/x
  3. Step 3: Cross multiply
    26,251x = 39,382.98 × 7,783
  4. Step 4: Simplify right side
    26,251x = 306,517,733.34
  5. Step 5: Solve for x
    x = 306,517,733.34/26,251
  6. Step 6: Final answer
    x = 11,676.42

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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.