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Finding the Fourth Proportional to 6,343, 8,747.97 and 3,824.56

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Solution

The fourth proportional to 6,343, 8,747.97 and 3,824.56 is: 5,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343 : 8,747.97 = 3,824.56 : x
  2. Step 2: Convert to fraction form
    6,343/8,747.97 = 3,824.56/x
  3. Step 3: Cross multiply
    6,343x = 8,747.97 × 3,824.56
  4. Step 4: Simplify right side
    6,343x = 33,457,136.14
  5. Step 5: Solve for x
    x = 33,457,136.14/6,343
  6. Step 6: Final answer
    x = 5,274.65

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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.