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Finding the Fourth Proportional to 21,160.44, 31,744.08 and 8,679.96

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Solution

The fourth proportional to 21,160.44, 31,744.08 and 8,679.96 is: 13,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.44 : 31,744.08 = 8,679.96 : x
  2. Step 2: Convert to fraction form
    21,160.44/31,744.08 = 8,679.96/x
  3. Step 3: Cross multiply
    21,160.44x = 31,744.08 × 8,679.96
  4. Step 4: Simplify right side
    21,160.44x = 275,537,344.64
  5. Step 5: Solve for x
    x = 275,537,344.64/21,160.44
  6. Step 6: Final answer
    x = 13,021.34

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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.