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Finding the Fourth Proportional to 14,474, 21,695.84 and 6,687.92

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Solution

The fourth proportional to 14,474, 21,695.84 and 6,687.92 is: 10,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474 : 21,695.84 = 6,687.92 : x
  2. Step 2: Convert to fraction form
    14,474/21,695.84 = 6,687.92/x
  3. Step 3: Cross multiply
    14,474x = 21,695.84 × 6,687.92
  4. Step 4: Simplify right side
    14,474x = 145,100,042.25
  5. Step 5: Solve for x
    x = 145,100,042.25/14,474
  6. Step 6: Final answer
    x = 10,024.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.