Home / 2,542.25-3,813.59-982.19

Finding the Fourth Proportional to 2,542.25, 3,813.59 and 982.19

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Solution

The fourth proportional to 2,542.25, 3,813.59 and 982.19 is: 1,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.25 : 3,813.59 = 982.19 : x
  2. Step 2: Convert to fraction form
    2,542.25/3,813.59 = 982.19/x
  3. Step 3: Cross multiply
    2,542.25x = 3,813.59 × 982.19
  4. Step 4: Simplify right side
    2,542.25x = 3,745,681.95
  5. Step 5: Solve for x
    x = 3,745,681.95/2,542.25
  6. Step 6: Final answer
    x = 1,473.37

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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.