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Finding the Fourth Proportional to 12,441.36, 18,666 and 3,676.32

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Solution

The fourth proportional to 12,441.36, 18,666 and 3,676.32 is: 5,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.36 : 18,666 = 3,676.32 : x
  2. Step 2: Convert to fraction form
    12,441.36/18,666 = 3,676.32/x
  3. Step 3: Cross multiply
    12,441.36x = 18,666 × 3,676.32
  4. Step 4: Simplify right side
    12,441.36x = 68,622,189.12
  5. Step 5: Solve for x
    x = 68,622,189.12/12,441.36
  6. Step 6: Final answer
    x = 5,515.65

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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.