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Finding the Fourth Proportional to 11,286, 16,927.29 and 7,113.38

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Solution

The fourth proportional to 11,286, 16,927.29 and 7,113.38 is: 10,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 16,927.29 = 7,113.38 : x
  2. Step 2: Convert to fraction form
    11,286/16,927.29 = 7,113.38/x
  3. Step 3: Cross multiply
    11,286x = 16,927.29 × 7,113.38
  4. Step 4: Simplify right side
    11,286x = 120,410,161.50
  5. Step 5: Solve for x
    x = 120,410,161.50/11,286
  6. Step 6: Final answer
    x = 10,668.98

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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.