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Finding the Fourth Proportional to 18,997.97, 26,215.88 and 10,500

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Solution

The fourth proportional to 18,997.97, 26,215.88 and 10,500 is: 14,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997.97 : 26,215.88 = 10,500 : x
  2. Step 2: Convert to fraction form
    18,997.97/26,215.88 = 10,500/x
  3. Step 3: Cross multiply
    18,997.97x = 26,215.88 × 10,500
  4. Step 4: Simplify right side
    18,997.97x = 275,266,687.50
  5. Step 5: Solve for x
    x = 275,266,687.50/18,997.97
  6. Step 6: Final answer
    x = 14,489.27

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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.