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Finding the Fourth Proportional to 2,354.26, 3,531.80 and 968.36

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Solution

The fourth proportional to 2,354.26, 3,531.80 and 968.36 is: 1,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.26 : 3,531.80 = 968.36 : x
  2. Step 2: Convert to fraction form
    2,354.26/3,531.80 = 968.36/x
  3. Step 3: Cross multiply
    2,354.26x = 3,531.80 × 968.36
  4. Step 4: Simplify right side
    2,354.26x = 3,420,053.85
  5. Step 5: Solve for x
    x = 3,420,053.85/2,354.26
  6. Step 6: Final answer
    x = 1,452.71

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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.