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Finding the Fourth Proportional to 2,676.92, 4,015.35 and 729.11

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Solution

The fourth proportional to 2,676.92, 4,015.35 and 729.11 is: 1,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.92 : 4,015.35 = 729.11 : x
  2. Step 2: Convert to fraction form
    2,676.92/4,015.35 = 729.11/x
  3. Step 3: Cross multiply
    2,676.92x = 4,015.35 × 729.11
  4. Step 4: Simplify right side
    2,676.92x = 2,927,641.88
  5. Step 5: Solve for x
    x = 2,927,641.88/2,676.92
  6. Step 6: Final answer
    x = 1,093.66

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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.