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Finding the Fourth Proportional to 12,118.43, 18,178.07 and 3,354

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Solution

The fourth proportional to 12,118.43, 18,178.07 and 3,354 is: 5,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.43 : 18,178.07 = 3,354 : x
  2. Step 2: Convert to fraction form
    12,118.43/18,178.07 = 3,354/x
  3. Step 3: Cross multiply
    12,118.43x = 18,178.07 × 3,354
  4. Step 4: Simplify right side
    12,118.43x = 60,969,230.01
  5. Step 5: Solve for x
    x = 60,969,230.01/12,118.43
  6. Step 6: Final answer
    x = 5,031.12

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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.