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Finding the Fourth Proportional to 21,906.63, 32,836.48 and 15,647.66

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Solution

The fourth proportional to 21,906.63, 32,836.48 and 15,647.66 is: 23,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.63 : 32,836.48 = 15,647.66 : x
  2. Step 2: Convert to fraction form
    21,906.63/32,836.48 = 15,647.66/x
  3. Step 3: Cross multiply
    21,906.63x = 32,836.48 × 15,647.66
  4. Step 4: Simplify right side
    21,906.63x = 513,814,074.64
  5. Step 5: Solve for x
    x = 513,814,074.64/21,906.63
  6. Step 6: Final answer
    x = 23,454.73

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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.