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Finding the Fourth Proportional to 2,394.73, 3,592.11 and 728.87

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Solution

The fourth proportional to 2,394.73, 3,592.11 and 728.87 is: 1,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.73 : 3,592.11 = 728.87 : x
  2. Step 2: Convert to fraction form
    2,394.73/3,592.11 = 728.87/x
  3. Step 3: Cross multiply
    2,394.73x = 3,592.11 × 728.87
  4. Step 4: Simplify right side
    2,394.73x = 2,618,190.15
  5. Step 5: Solve for x
    x = 2,618,190.15/2,394.73
  6. Step 6: Final answer
    x = 1,093.31

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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.