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Finding the Fourth Proportional to 14,997, 20,695.86 and 8,373

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Solution

The fourth proportional to 14,997, 20,695.86 and 8,373 is: 11,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997 : 20,695.86 = 8,373 : x
  2. Step 2: Convert to fraction form
    14,997/20,695.86 = 8,373/x
  3. Step 3: Cross multiply
    14,997x = 20,695.86 × 8,373
  4. Step 4: Simplify right side
    14,997x = 173,286,435.78
  5. Step 5: Solve for x
    x = 173,286,435.78/14,997
  6. Step 6: Final answer
    x = 11,554.74

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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.