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Finding the Fourth Proportional to 22,561.38, 33,846.77 and 6,765.77

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Solution

The fourth proportional to 22,561.38, 33,846.77 and 6,765.77 is: 10,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.38 : 33,846.77 = 6,765.77 : x
  2. Step 2: Convert to fraction form
    22,561.38/33,846.77 = 6,765.77/x
  3. Step 3: Cross multiply
    22,561.38x = 33,846.77 × 6,765.77
  4. Step 4: Simplify right side
    22,561.38x = 228,999,258.00
  5. Step 5: Solve for x
    x = 228,999,258.00/22,561.38
  6. Step 6: Final answer
    x = 10,150.06

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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.