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Finding the Fourth Proportional to 25,638.96, 38,493.84 and 17,721.96

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Solution

The fourth proportional to 25,638.96, 38,493.84 and 17,721.96 is: 26,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.96 : 38,493.84 = 17,721.96 : x
  2. Step 2: Convert to fraction form
    25,638.96/38,493.84 = 17,721.96/x
  3. Step 3: Cross multiply
    25,638.96x = 38,493.84 × 17,721.96
  4. Step 4: Simplify right side
    25,638.96x = 682,186,292.73
  5. Step 5: Solve for x
    x = 682,186,292.73/25,638.96
  6. Step 6: Final answer
    x = 26,607.41

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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.