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Finding the Fourth Proportional to 16,665, 22,997.94 and 9,213

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Solution

The fourth proportional to 16,665, 22,997.94 and 9,213 is: 12,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,665 : 22,997.94 = 9,213 : x
  2. Step 2: Convert to fraction form
    16,665/22,997.94 = 9,213/x
  3. Step 3: Cross multiply
    16,665x = 22,997.94 × 9,213
  4. Step 4: Simplify right side
    16,665x = 211,880,021.22
  5. Step 5: Solve for x
    x = 211,880,021.22/16,665
  6. Step 6: Final answer
    x = 12,714.07

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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.