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Finding the Fourth Proportional to 16,935, 23,370.30 and 10,311

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Solution

The fourth proportional to 16,935, 23,370.30 and 10,311 is: 14,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,935 : 23,370.30 = 10,311 : x
  2. Step 2: Convert to fraction form
    16,935/23,370.30 = 10,311/x
  3. Step 3: Cross multiply
    16,935x = 23,370.30 × 10,311
  4. Step 4: Simplify right side
    16,935x = 240,971,163.30
  5. Step 5: Solve for x
    x = 240,971,163.30/16,935
  6. Step 6: Final answer
    x = 14,229.18

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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.