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Finding the Fourth Proportional to 2,676.73, 4,015.23 and 728.95

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Solution

The fourth proportional to 2,676.73, 4,015.23 and 728.95 is: 1,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.73 : 4,015.23 = 728.95 : x
  2. Step 2: Convert to fraction form
    2,676.73/4,015.23 = 728.95/x
  3. Step 3: Cross multiply
    2,676.73x = 4,015.23 × 728.95
  4. Step 4: Simplify right side
    2,676.73x = 2,926,901.91
  5. Step 5: Solve for x
    x = 2,926,901.91/2,676.73
  6. Step 6: Final answer
    x = 1,093.46

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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.