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Finding the Fourth Proportional to 2,422.68, 3,634.53 and 961.80

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Solution

The fourth proportional to 2,422.68, 3,634.53 and 961.80 is: 1,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.68 : 3,634.53 = 961.80 : x
  2. Step 2: Convert to fraction form
    2,422.68/3,634.53 = 961.80/x
  3. Step 3: Cross multiply
    2,422.68x = 3,634.53 × 961.80
  4. Step 4: Simplify right side
    2,422.68x = 3,495,690.95
  5. Step 5: Solve for x
    x = 3,495,690.95/2,422.68
  6. Step 6: Final answer
    x = 1,442.90

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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.