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Finding the Fourth Proportional to 11,137.10, 16,706.78 and 4,119

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Solution

The fourth proportional to 11,137.10, 16,706.78 and 4,119 is: 6,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.10 : 16,706.78 = 4,119 : x
  2. Step 2: Convert to fraction form
    11,137.10/16,706.78 = 4,119/x
  3. Step 3: Cross multiply
    11,137.10x = 16,706.78 × 4,119
  4. Step 4: Simplify right side
    11,137.10x = 68,815,226.82
  5. Step 5: Solve for x
    x = 68,815,226.82/11,137.10
  6. Step 6: Final answer
    x = 6,178.92

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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.