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Finding the Fourth Proportional to 10,909, 16,363.50 and 3,514.21

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Solution

The fourth proportional to 10,909, 16,363.50 and 3,514.21 is: 5,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 16,363.50 = 3,514.21 : x
  2. Step 2: Convert to fraction form
    10,909/16,363.50 = 3,514.21/x
  3. Step 3: Cross multiply
    10,909x = 16,363.50 × 3,514.21
  4. Step 4: Simplify right side
    10,909x = 57,504,775.34
  5. Step 5: Solve for x
    x = 57,504,775.34/10,909
  6. Step 6: Final answer
    x = 5,271.32

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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.