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Finding the Fourth Proportional to 11,889.90, 16,408.08 and 6,584.60

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Solution

The fourth proportional to 11,889.90, 16,408.08 and 6,584.60 is: 9,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.90 : 16,408.08 = 6,584.60 : x
  2. Step 2: Convert to fraction form
    11,889.90/16,408.08 = 6,584.60/x
  3. Step 3: Cross multiply
    11,889.90x = 16,408.08 × 6,584.60
  4. Step 4: Simplify right side
    11,889.90x = 108,040,643.57
  5. Step 5: Solve for x
    x = 108,040,643.57/11,889.90
  6. Step 6: Final answer
    x = 9,086.76

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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.