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Finding the Fourth Proportional to 26,235, 39,353.64 and 7,767

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Solution

The fourth proportional to 26,235, 39,353.64 and 7,767 is: 11,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,235 : 39,353.64 = 7,767 : x
  2. Step 2: Convert to fraction form
    26,235/39,353.64 = 7,767/x
  3. Step 3: Cross multiply
    26,235x = 39,353.64 × 7,767
  4. Step 4: Simplify right side
    26,235x = 305,659,721.88
  5. Step 5: Solve for x
    x = 305,659,721.88/26,235
  6. Step 6: Final answer
    x = 11,650.84

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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.