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Finding the Fourth Proportional to 5,186.43, 7,157.43 and 2,828.61

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Solution

The fourth proportional to 5,186.43, 7,157.43 and 2,828.61 is: 3,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.43 : 7,157.43 = 2,828.61 : x
  2. Step 2: Convert to fraction form
    5,186.43/7,157.43 = 2,828.61/x
  3. Step 3: Cross multiply
    5,186.43x = 7,157.43 × 2,828.61
  4. Step 4: Simplify right side
    5,186.43x = 20,245,578.07
  5. Step 5: Solve for x
    x = 20,245,578.07/5,186.43
  6. Step 6: Final answer
    x = 3,903.57

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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.