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Finding the Fourth Proportional to 13,721, 20,584.74 and 4,487

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Solution

The fourth proportional to 13,721, 20,584.74 and 4,487 is: 6,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721 : 20,584.74 = 4,487 : x
  2. Step 2: Convert to fraction form
    13,721/20,584.74 = 4,487/x
  3. Step 3: Cross multiply
    13,721x = 20,584.74 × 4,487
  4. Step 4: Simplify right side
    13,721x = 92,363,728.38
  5. Step 5: Solve for x
    x = 92,363,728.38/13,721
  6. Step 6: Final answer
    x = 6,731.56

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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.