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Finding the Fourth Proportional to 10,889.82, 16,354.13 and 8,919.18

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Solution

The fourth proportional to 10,889.82, 16,354.13 and 8,919.18 is: 13,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.82 : 16,354.13 = 8,919.18 : x
  2. Step 2: Convert to fraction form
    10,889.82/16,354.13 = 8,919.18/x
  3. Step 3: Cross multiply
    10,889.82x = 16,354.13 × 8,919.18
  4. Step 4: Simplify right side
    10,889.82x = 145,865,384.62
  5. Step 5: Solve for x
    x = 145,865,384.62/10,889.82
  6. Step 6: Final answer
    x = 13,394.66

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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.