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Finding the Fourth Proportional to 12,126, 18,189.96 and 3,918

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Solution

The fourth proportional to 12,126, 18,189.96 and 3,918 is: 5,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126 : 18,189.96 = 3,918 : x
  2. Step 2: Convert to fraction form
    12,126/18,189.96 = 3,918/x
  3. Step 3: Cross multiply
    12,126x = 18,189.96 × 3,918
  4. Step 4: Simplify right side
    12,126x = 71,268,263.28
  5. Step 5: Solve for x
    x = 71,268,263.28/12,126
  6. Step 6: Final answer
    x = 5,877.31

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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.