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Finding the Fourth Proportional to 11,322, 16,978.88 and 3,924.48

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Solution

The fourth proportional to 11,322, 16,978.88 and 3,924.48 is: 5,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322 : 16,978.88 = 3,924.48 : x
  2. Step 2: Convert to fraction form
    11,322/16,978.88 = 3,924.48/x
  3. Step 3: Cross multiply
    11,322x = 16,978.88 × 3,924.48
  4. Step 4: Simplify right side
    11,322x = 66,633,274.98
  5. Step 5: Solve for x
    x = 66,633,274.98/11,322
  6. Step 6: Final answer
    x = 5,885.29

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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.