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Finding the Fourth Proportional to 13,731, 20,597.31 and 4,497

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Solution

The fourth proportional to 13,731, 20,597.31 and 4,497 is: 6,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 20,597.31 = 4,497 : x
  2. Step 2: Convert to fraction form
    13,731/20,597.31 = 4,497/x
  3. Step 3: Cross multiply
    13,731x = 20,597.31 × 4,497
  4. Step 4: Simplify right side
    13,731x = 92,626,103.07
  5. Step 5: Solve for x
    x = 92,626,103.07/13,731
  6. Step 6: Final answer
    x = 6,745.77

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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.