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Finding the Fourth Proportional to 25,676.33, 38,462.18 and 20,949.30

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Solution

The fourth proportional to 25,676.33, 38,462.18 and 20,949.30 is: 31,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.33 : 38,462.18 = 20,949.30 : x
  2. Step 2: Convert to fraction form
    25,676.33/38,462.18 = 20,949.30/x
  3. Step 3: Cross multiply
    25,676.33x = 38,462.18 × 20,949.30
  4. Step 4: Simplify right side
    25,676.33x = 805,755,642.73
  5. Step 5: Solve for x
    x = 805,755,642.73/25,676.33
  6. Step 6: Final answer
    x = 31,381.27

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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.