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Finding the Fourth Proportional to 6,824.02, 9,416.38 and 3,840.88

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Solution

The fourth proportional to 6,824.02, 9,416.38 and 3,840.88 is: 5,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.02 : 9,416.38 = 3,840.88 : x
  2. Step 2: Convert to fraction form
    6,824.02/9,416.38 = 3,840.88/x
  3. Step 3: Cross multiply
    6,824.02x = 9,416.38 × 3,840.88
  4. Step 4: Simplify right side
    6,824.02x = 36,167,119.33
  5. Step 5: Solve for x
    x = 36,167,119.33/6,824.02
  6. Step 6: Final answer
    x = 5,299.98

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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.