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Finding the Fourth Proportional to 2,542.36, 3,813.78 and 1,003

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Solution

The fourth proportional to 2,542.36, 3,813.78 and 1,003 is: 1,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.36 : 3,813.78 = 1,003 : x
  2. Step 2: Convert to fraction form
    2,542.36/3,813.78 = 1,003/x
  3. Step 3: Cross multiply
    2,542.36x = 3,813.78 × 1,003
  4. Step 4: Simplify right side
    2,542.36x = 3,825,221.34
  5. Step 5: Solve for x
    x = 3,825,221.34/2,542.36
  6. Step 6: Final answer
    x = 1,504.59

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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.