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Finding the Fourth Proportional to 54,861.80, 82,304.22 and 17,921

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Solution

The fourth proportional to 54,861.80, 82,304.22 and 17,921 is: 26,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,861.80 : 82,304.22 = 17,921 : x
  2. Step 2: Convert to fraction form
    54,861.80/82,304.22 = 17,921/x
  3. Step 3: Cross multiply
    54,861.80x = 82,304.22 × 17,921
  4. Step 4: Simplify right side
    54,861.80x = 1,474,973,926.62
  5. Step 5: Solve for x
    x = 1,474,973,926.62/54,861.80
  6. Step 6: Final answer
    x = 26,885.26

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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.