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Finding the Fourth Proportional to 21,644.73, 32,485.32 and 8,506.33

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Solution

The fourth proportional to 21,644.73, 32,485.32 and 8,506.33 is: 12,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.73 : 32,485.32 = 8,506.33 : x
  2. Step 2: Convert to fraction form
    21,644.73/32,485.32 = 8,506.33/x
  3. Step 3: Cross multiply
    21,644.73x = 32,485.32 × 8,506.33
  4. Step 4: Simplify right side
    21,644.73x = 276,330,770.86
  5. Step 5: Solve for x
    x = 276,330,770.86/21,644.73
  6. Step 6: Final answer
    x = 12,766.65

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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.