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Finding the Fourth Proportional to 26,383.86, 39,577.85 and 7,664.20

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Solution

The fourth proportional to 26,383.86, 39,577.85 and 7,664.20 is: 11,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.86 : 39,577.85 = 7,664.20 : x
  2. Step 2: Convert to fraction form
    26,383.86/39,577.85 = 7,664.20/x
  3. Step 3: Cross multiply
    26,383.86x = 39,577.85 × 7,664.20
  4. Step 4: Simplify right side
    26,383.86x = 303,332,519.65
  5. Step 5: Solve for x
    x = 303,332,519.65/26,383.86
  6. Step 6: Final answer
    x = 11,496.90

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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.