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Finding the Fourth Proportional to 2,542.53, 3,812.82 and 982.47

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Solution

The fourth proportional to 2,542.53, 3,812.82 and 982.47 is: 1,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.53 : 3,812.82 = 982.47 : x
  2. Step 2: Convert to fraction form
    2,542.53/3,812.82 = 982.47/x
  3. Step 3: Cross multiply
    2,542.53x = 3,812.82 × 982.47
  4. Step 4: Simplify right side
    2,542.53x = 3,745,981.27
  5. Step 5: Solve for x
    x = 3,745,981.27/2,542.53
  6. Step 6: Final answer
    x = 1,473.33

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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.