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Finding the Fourth Proportional to 21,573, 29,771.46 and 13,187.88

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Solution

The fourth proportional to 21,573, 29,771.46 and 13,187.88 is: 18,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 29,771.46 = 13,187.88 : x
  2. Step 2: Convert to fraction form
    21,573/29,771.46 = 13,187.88/x
  3. Step 3: Cross multiply
    21,573x = 29,771.46 × 13,187.88
  4. Step 4: Simplify right side
    21,573x = 392,622,441.90
  5. Step 5: Solve for x
    x = 392,622,441.90/21,573
  6. Step 6: Final answer
    x = 18,199.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.