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Finding the Fourth Proportional to 2,344, 3,514.38 and 1,419.80

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Solution

The fourth proportional to 2,344, 3,514.38 and 1,419.80 is: 2,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344 : 3,514.38 = 1,419.80 : x
  2. Step 2: Convert to fraction form
    2,344/3,514.38 = 1,419.80/x
  3. Step 3: Cross multiply
    2,344x = 3,514.38 × 1,419.80
  4. Step 4: Simplify right side
    2,344x = 4,989,716.72
  5. Step 5: Solve for x
    x = 4,989,716.72/2,344
  6. Step 6: Final answer
    x = 2,128.72

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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.