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Finding the Fourth Proportional to 11,889.76, 16,408.12 and 6,512.42

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Solution

The fourth proportional to 11,889.76, 16,408.12 and 6,512.42 is: 8,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.76 : 16,408.12 = 6,512.42 : x
  2. Step 2: Convert to fraction form
    11,889.76/16,408.12 = 6,512.42/x
  3. Step 3: Cross multiply
    11,889.76x = 16,408.12 × 6,512.42
  4. Step 4: Simplify right side
    11,889.76x = 106,856,568.85
  5. Step 5: Solve for x
    x = 106,856,568.85/11,889.76
  6. Step 6: Final answer
    x = 8,987.28

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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.