Home / 5,214.41-7,821.62-2,138.57

Finding the Fourth Proportional to 5,214.41, 7,821.62 and 2,138.57

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Solution

The fourth proportional to 5,214.41, 7,821.62 and 2,138.57 is: 3,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.41 : 7,821.62 = 2,138.57 : x
  2. Step 2: Convert to fraction form
    5,214.41/7,821.62 = 2,138.57/x
  3. Step 3: Cross multiply
    5,214.41x = 7,821.62 × 2,138.57
  4. Step 4: Simplify right side
    5,214.41x = 16,727,081.88
  5. Step 5: Solve for x
    x = 16,727,081.88/5,214.41
  6. Step 6: Final answer
    x = 3,207.86

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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.