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Finding the Fourth Proportional to 13,724, 20,586 and 4,490

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Solution

The fourth proportional to 13,724, 20,586 and 4,490 is: 6,735

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724 : 20,586 = 4,490 : x
  2. Step 2: Convert to fraction form
    13,724/20,586 = 4,490/x
  3. Step 3: Cross multiply
    13,724x = 20,586 × 4,490
  4. Step 4: Simplify right side
    13,724x = 92,431,140
  5. Step 5: Solve for x
    x = 92,431,140/13,724
  6. Step 6: Final answer
    x = 6,735

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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.