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Finding the Fourth Proportional to 16,305, 22,500.90 and 8,853

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Solution

The fourth proportional to 16,305, 22,500.90 and 8,853 is: 12,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 22,500.90 = 8,853 : x
  2. Step 2: Convert to fraction form
    16,305/22,500.90 = 8,853/x
  3. Step 3: Cross multiply
    16,305x = 22,500.90 × 8,853
  4. Step 4: Simplify right side
    16,305x = 199,200,467.70
  5. Step 5: Solve for x
    x = 199,200,467.70/16,305
  6. Step 6: Final answer
    x = 12,217.14

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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.