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Finding the Fourth Proportional to 5,213.87, 7,822.49 and 1,927.43

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Solution

The fourth proportional to 5,213.87, 7,822.49 and 1,927.43 is: 2,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.87 : 7,822.49 = 1,927.43 : x
  2. Step 2: Convert to fraction form
    5,213.87/7,822.49 = 1,927.43/x
  3. Step 3: Cross multiply
    5,213.87x = 7,822.49 × 1,927.43
  4. Step 4: Simplify right side
    5,213.87x = 15,077,253.15
  5. Step 5: Solve for x
    x = 15,077,253.15/5,213.87
  6. Step 6: Final answer
    x = 2,891.76

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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.