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Finding the Fourth Proportional to 2,543.73, 3,815.19 and 984.48

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Solution

The fourth proportional to 2,543.73, 3,815.19 and 984.48 is: 1,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.73 : 3,815.19 = 984.48 : x
  2. Step 2: Convert to fraction form
    2,543.73/3,815.19 = 984.48/x
  3. Step 3: Cross multiply
    2,543.73x = 3,815.19 × 984.48
  4. Step 4: Simplify right side
    2,543.73x = 3,755,978.25
  5. Step 5: Solve for x
    x = 3,755,978.25/2,543.73
  6. Step 6: Final answer
    x = 1,476.56

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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.