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Finding the Fourth Proportional to 12,107.68, 18,161 and 3,342.36

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Solution

The fourth proportional to 12,107.68, 18,161 and 3,342.36 is: 5,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.68 : 18,161 = 3,342.36 : x
  2. Step 2: Convert to fraction form
    12,107.68/18,161 = 3,342.36/x
  3. Step 3: Cross multiply
    12,107.68x = 18,161 × 3,342.36
  4. Step 4: Simplify right side
    12,107.68x = 60,700,599.96
  5. Step 5: Solve for x
    x = 60,700,599.96/12,107.68
  6. Step 6: Final answer
    x = 5,013.40

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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.