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Finding the Fourth Proportional to 2,443.73, 3,665.77 and 982.89

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Solution

The fourth proportional to 2,443.73, 3,665.77 and 982.89 is: 1,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.73 : 3,665.77 = 982.89 : x
  2. Step 2: Convert to fraction form
    2,443.73/3,665.77 = 982.89/x
  3. Step 3: Cross multiply
    2,443.73x = 3,665.77 × 982.89
  4. Step 4: Simplify right side
    2,443.73x = 3,603,046.22
  5. Step 5: Solve for x
    x = 3,603,046.22/2,443.73
  6. Step 6: Final answer
    x = 1,474.40

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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.