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Finding the Fourth Proportional to 13,742, 20,613 and 4,508

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Solution

The fourth proportional to 13,742, 20,613 and 4,508 is: 6,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742 : 20,613 = 4,508 : x
  2. Step 2: Convert to fraction form
    13,742/20,613 = 4,508/x
  3. Step 3: Cross multiply
    13,742x = 20,613 × 4,508
  4. Step 4: Simplify right side
    13,742x = 92,923,404
  5. Step 5: Solve for x
    x = 92,923,404/13,742
  6. Step 6: Final answer
    x = 6,762

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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.