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Finding the Fourth Proportional to 11,914.59, 17,871.89 and 4,123.41

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Solution

The fourth proportional to 11,914.59, 17,871.89 and 4,123.41 is: 6,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.59 : 17,871.89 = 4,123.41 : x
  2. Step 2: Convert to fraction form
    11,914.59/17,871.89 = 4,123.41/x
  3. Step 3: Cross multiply
    11,914.59x = 17,871.89 × 4,123.41
  4. Step 4: Simplify right side
    11,914.59x = 73,693,065.50
  5. Step 5: Solve for x
    x = 73,693,065.50/11,914.59
  6. Step 6: Final answer
    x = 6,185.11

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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.