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Finding the Fourth Proportional to 26,481.84, 39,728.22 and 7,762.49

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Solution

The fourth proportional to 26,481.84, 39,728.22 and 7,762.49 is: 11,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,481.84 : 39,728.22 = 7,762.49 : x
  2. Step 2: Convert to fraction form
    26,481.84/39,728.22 = 7,762.49/x
  3. Step 3: Cross multiply
    26,481.84x = 39,728.22 × 7,762.49
  4. Step 4: Simplify right side
    26,481.84x = 308,389,711.83
  5. Step 5: Solve for x
    x = 308,389,711.83/26,481.84
  6. Step 6: Final answer
    x = 11,645.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.