Home / 5,213.15-7,814.25-3,824.40

Finding the Fourth Proportional to 5,213.15, 7,814.25 and 3,824.40

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Solution

The fourth proportional to 5,213.15, 7,814.25 and 3,824.40 is: 5,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.15 : 7,814.25 = 3,824.40 : x
  2. Step 2: Convert to fraction form
    5,213.15/7,814.25 = 3,824.40/x
  3. Step 3: Cross multiply
    5,213.15x = 7,814.25 × 3,824.40
  4. Step 4: Simplify right side
    5,213.15x = 29,884,817.70
  5. Step 5: Solve for x
    x = 29,884,817.70/5,213.15
  6. Step 6: Final answer
    x = 5,732.59

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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.