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Finding the Fourth Proportional to 11,239, 16,858.56 and 3,447.88

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Solution

The fourth proportional to 11,239, 16,858.56 and 3,447.88 is: 5,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239 : 16,858.56 = 3,447.88 : x
  2. Step 2: Convert to fraction form
    11,239/16,858.56 = 3,447.88/x
  3. Step 3: Cross multiply
    11,239x = 16,858.56 × 3,447.88
  4. Step 4: Simplify right side
    11,239x = 58,126,291.85
  5. Step 5: Solve for x
    x = 58,126,291.85/11,239
  6. Step 6: Final answer
    x = 5,171.84

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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.