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Finding the Fourth Proportional to 11,138, 16,694.04 and 4,556.21

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Solution

The fourth proportional to 11,138, 16,694.04 and 4,556.21 is: 6,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138 : 16,694.04 = 4,556.21 : x
  2. Step 2: Convert to fraction form
    11,138/16,694.04 = 4,556.21/x
  3. Step 3: Cross multiply
    11,138x = 16,694.04 × 4,556.21
  4. Step 4: Simplify right side
    11,138x = 76,061,551.99
  5. Step 5: Solve for x
    x = 76,061,551.99/11,138
  6. Step 6: Final answer
    x = 6,829.01

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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.