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Finding the Fourth Proportional to 21,658.44, 32,474.46 and 8,517

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Solution

The fourth proportional to 21,658.44, 32,474.46 and 8,517 is: 12,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.44 : 32,474.46 = 8,517 : x
  2. Step 2: Convert to fraction form
    21,658.44/32,474.46 = 8,517/x
  3. Step 3: Cross multiply
    21,658.44x = 32,474.46 × 8,517
  4. Step 4: Simplify right side
    21,658.44x = 276,584,975.82
  5. Step 5: Solve for x
    x = 276,584,975.82/21,658.44
  6. Step 6: Final answer
    x = 12,770.31

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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.