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Finding the Fourth Proportional to 11,672.91, 16,107.95 and 6,636.42

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Solution

The fourth proportional to 11,672.91, 16,107.95 and 6,636.42 is: 9,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.91 : 16,107.95 = 6,636.42 : x
  2. Step 2: Convert to fraction form
    11,672.91/16,107.95 = 6,636.42/x
  3. Step 3: Cross multiply
    11,672.91x = 16,107.95 × 6,636.42
  4. Step 4: Simplify right side
    11,672.91x = 106,899,138.13
  5. Step 5: Solve for x
    x = 106,899,138.13/11,672.91
  6. Step 6: Final answer
    x = 9,157.88

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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.