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Finding the Fourth Proportional to 11,141.76, 16,698 and 6,213.72

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Solution

The fourth proportional to 11,141.76, 16,698 and 6,213.72 is: 9,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.76 : 16,698 = 6,213.72 : x
  2. Step 2: Convert to fraction form
    11,141.76/16,698 = 6,213.72/x
  3. Step 3: Cross multiply
    11,141.76x = 16,698 × 6,213.72
  4. Step 4: Simplify right side
    11,141.76x = 103,756,696.56
  5. Step 5: Solve for x
    x = 103,756,696.56/11,141.76
  6. Step 6: Final answer
    x = 9,312.42

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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.