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Finding the Fourth Proportional to 3,814.48, 5,721.01 and 1,349.32

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Solution

The fourth proportional to 3,814.48, 5,721.01 and 1,349.32 is: 2,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.48 : 5,721.01 = 1,349.32 : x
  2. Step 2: Convert to fraction form
    3,814.48/5,721.01 = 1,349.32/x
  3. Step 3: Cross multiply
    3,814.48x = 5,721.01 × 1,349.32
  4. Step 4: Simplify right side
    3,814.48x = 7,719,473.21
  5. Step 5: Solve for x
    x = 7,719,473.21/3,814.48
  6. Step 6: Final answer
    x = 2,023.73

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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.