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Finding the Fourth Proportional to 11,882.55, 16,396.09 and 6,845.78

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Solution

The fourth proportional to 11,882.55, 16,396.09 and 6,845.78 is: 9,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.55 : 16,396.09 = 6,845.78 : x
  2. Step 2: Convert to fraction form
    11,882.55/16,396.09 = 6,845.78/x
  3. Step 3: Cross multiply
    11,882.55x = 16,396.09 × 6,845.78
  4. Step 4: Simplify right side
    11,882.55x = 112,244,048.88
  5. Step 5: Solve for x
    x = 112,244,048.88/11,882.55
  6. Step 6: Final answer
    x = 9,446.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.