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Finding the Fourth Proportional to 21,687.56, 32,531.44 and 6,694.50

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Solution

The fourth proportional to 21,687.56, 32,531.44 and 6,694.50 is: 10,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.56 : 32,531.44 = 6,694.50 : x
  2. Step 2: Convert to fraction form
    21,687.56/32,531.44 = 6,694.50/x
  3. Step 3: Cross multiply
    21,687.56x = 32,531.44 × 6,694.50
  4. Step 4: Simplify right side
    21,687.56x = 217,781,725.08
  5. Step 5: Solve for x
    x = 217,781,725.08/21,687.56
  6. Step 6: Final answer
    x = 10,041.78

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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.