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Finding the Fourth Proportional to 11,887.94, 16,404.02 and 6,581.42

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Solution

The fourth proportional to 11,887.94, 16,404.02 and 6,581.42 is: 9,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.94 : 16,404.02 = 6,581.42 : x
  2. Step 2: Convert to fraction form
    11,887.94/16,404.02 = 6,581.42/x
  3. Step 3: Cross multiply
    11,887.94x = 16,404.02 × 6,581.42
  4. Step 4: Simplify right side
    11,887.94x = 107,961,745.31
  5. Step 5: Solve for x
    x = 107,961,745.31/11,887.94
  6. Step 6: Final answer
    x = 9,081.62

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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.