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Finding the Fourth Proportional to 14,935, 20,610.30 and 8,311

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Solution

The fourth proportional to 14,935, 20,610.30 and 8,311 is: 11,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935 : 20,610.30 = 8,311 : x
  2. Step 2: Convert to fraction form
    14,935/20,610.30 = 8,311/x
  3. Step 3: Cross multiply
    14,935x = 20,610.30 × 8,311
  4. Step 4: Simplify right side
    14,935x = 171,292,203.30
  5. Step 5: Solve for x
    x = 171,292,203.30/14,935
  6. Step 6: Final answer
    x = 11,469.18

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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.