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Finding the Fourth Proportional to 2,543.14, 3,812.38 and 982.15

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Solution

The fourth proportional to 2,543.14, 3,812.38 and 982.15 is: 1,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.14 : 3,812.38 = 982.15 : x
  2. Step 2: Convert to fraction form
    2,543.14/3,812.38 = 982.15/x
  3. Step 3: Cross multiply
    2,543.14x = 3,812.38 × 982.15
  4. Step 4: Simplify right side
    2,543.14x = 3,744,329.02
  5. Step 5: Solve for x
    x = 3,744,329.02/2,543.14
  6. Step 6: Final answer
    x = 1,472.33

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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.