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Finding the Fourth Proportional to 3,814.90, 5,723.70 and 3,679.90

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Solution

The fourth proportional to 3,814.90, 5,723.70 and 3,679.90 is: 5,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.90 : 5,723.70 = 3,679.90 : x
  2. Step 2: Convert to fraction form
    3,814.90/5,723.70 = 3,679.90/x
  3. Step 3: Cross multiply
    3,814.90x = 5,723.70 × 3,679.90
  4. Step 4: Simplify right side
    3,814.90x = 21,062,643.63
  5. Step 5: Solve for x
    x = 21,062,643.63/3,814.90
  6. Step 6: Final answer
    x = 5,521.15

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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.