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Finding the Fourth Proportional to 11,993.96, 16,546.02 and 7,800.68

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Solution

The fourth proportional to 11,993.96, 16,546.02 and 7,800.68 is: 10,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.96 : 16,546.02 = 7,800.68 : x
  2. Step 2: Convert to fraction form
    11,993.96/16,546.02 = 7,800.68/x
  3. Step 3: Cross multiply
    11,993.96x = 16,546.02 × 7,800.68
  4. Step 4: Simplify right side
    11,993.96x = 129,070,207.29
  5. Step 5: Solve for x
    x = 129,070,207.29/11,993.96
  6. Step 6: Final answer
    x = 10,761.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.