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Finding the Fourth Proportional to 2,930.26, 4,395 and 982.48

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Solution

The fourth proportional to 2,930.26, 4,395 and 982.48 is: 1,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.26 : 4,395 = 982.48 : x
  2. Step 2: Convert to fraction form
    2,930.26/4,395 = 982.48/x
  3. Step 3: Cross multiply
    2,930.26x = 4,395 × 982.48
  4. Step 4: Simplify right side
    2,930.26x = 4,317,999.60
  5. Step 5: Solve for x
    x = 4,317,999.60/2,930.26
  6. Step 6: Final answer
    x = 1,473.59

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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.