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Finding the Fourth Proportional to 10,906.32, 16,369.20 and 7,446

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Solution

The fourth proportional to 10,906.32, 16,369.20 and 7,446 is: 11,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.32 : 16,369.20 = 7,446 : x
  2. Step 2: Convert to fraction form
    10,906.32/16,369.20 = 7,446/x
  3. Step 3: Cross multiply
    10,906.32x = 16,369.20 × 7,446
  4. Step 4: Simplify right side
    10,906.32x = 121,885,063.20
  5. Step 5: Solve for x
    x = 121,885,063.20/10,906.32
  6. Step 6: Final answer
    x = 11,175.64

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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.