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Finding the Fourth Proportional to 11,170.32, 16,756.06 and 7,898

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Solution

The fourth proportional to 11,170.32, 16,756.06 and 7,898 is: 11,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.32 : 16,756.06 = 7,898 : x
  2. Step 2: Convert to fraction form
    11,170.32/16,756.06 = 7,898/x
  3. Step 3: Cross multiply
    11,170.32x = 16,756.06 × 7,898
  4. Step 4: Simplify right side
    11,170.32x = 132,339,361.88
  5. Step 5: Solve for x
    x = 132,339,361.88/11,170.32
  6. Step 6: Final answer
    x = 11,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.