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Finding the Fourth Proportional to 13,484, 20,226 and 3,756

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Solution

The fourth proportional to 13,484, 20,226 and 3,756 is: 5,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484 : 20,226 = 3,756 : x
  2. Step 2: Convert to fraction form
    13,484/20,226 = 3,756/x
  3. Step 3: Cross multiply
    13,484x = 20,226 × 3,756
  4. Step 4: Simplify right side
    13,484x = 75,968,856
  5. Step 5: Solve for x
    x = 75,968,856/13,484
  6. Step 6: Final answer
    x = 5,634

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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.