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Finding the Fourth Proportional to 11,884.80, 16,401.22 and 6,507.15

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Solution

The fourth proportional to 11,884.80, 16,401.22 and 6,507.15 is: 8,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.80 : 16,401.22 = 6,507.15 : x
  2. Step 2: Convert to fraction form
    11,884.80/16,401.22 = 6,507.15/x
  3. Step 3: Cross multiply
    11,884.80x = 16,401.22 × 6,507.15
  4. Step 4: Simplify right side
    11,884.80x = 106,725,198.72
  5. Step 5: Solve for x
    x = 106,725,198.72/11,884.80
  6. Step 6: Final answer
    x = 8,979.97

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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.