Home / 3,514-4,849.40-2,274.16

Finding the Fourth Proportional to 3,514, 4,849.40 and 2,274.16

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Solution

The fourth proportional to 3,514, 4,849.40 and 2,274.16 is: 3,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514 : 4,849.40 = 2,274.16 : x
  2. Step 2: Convert to fraction form
    3,514/4,849.40 = 2,274.16/x
  3. Step 3: Cross multiply
    3,514x = 4,849.40 × 2,274.16
  4. Step 4: Simplify right side
    3,514x = 11,028,311.50
  5. Step 5: Solve for x
    x = 11,028,311.50/3,514
  6. Step 6: Final answer
    x = 3,138.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.