Home / 2,421.78-3,634.38-961.24

Finding the Fourth Proportional to 2,421.78, 3,634.38 and 961.24

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Solution

The fourth proportional to 2,421.78, 3,634.38 and 961.24 is: 1,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.78 : 3,634.38 = 961.24 : x
  2. Step 2: Convert to fraction form
    2,421.78/3,634.38 = 961.24/x
  3. Step 3: Cross multiply
    2,421.78x = 3,634.38 × 961.24
  4. Step 4: Simplify right side
    2,421.78x = 3,493,511.43
  5. Step 5: Solve for x
    x = 3,493,511.43/2,421.78
  6. Step 6: Final answer
    x = 1,442.54

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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.