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Finding the Fourth Proportional to 3,814.14, 5,721.42 and 1,216.88

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Solution

The fourth proportional to 3,814.14, 5,721.42 and 1,216.88 is: 1,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.14 : 5,721.42 = 1,216.88 : x
  2. Step 2: Convert to fraction form
    3,814.14/5,721.42 = 1,216.88/x
  3. Step 3: Cross multiply
    3,814.14x = 5,721.42 × 1,216.88
  4. Step 4: Simplify right side
    3,814.14x = 6,962,246.88
  5. Step 5: Solve for x
    x = 6,962,246.88/3,814.14
  6. Step 6: Final answer
    x = 1,825.38

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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.