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Finding the Fourth Proportional to 11,138.40, 16,716 and 7,620

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Solution

The fourth proportional to 11,138.40, 16,716 and 7,620 is: 11,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.40 : 16,716 = 7,620 : x
  2. Step 2: Convert to fraction form
    11,138.40/16,716 = 7,620/x
  3. Step 3: Cross multiply
    11,138.40x = 16,716 × 7,620
  4. Step 4: Simplify right side
    11,138.40x = 127,375,920
  5. Step 5: Solve for x
    x = 127,375,920/11,138.40
  6. Step 6: Final answer
    x = 11,435.75

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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.