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Finding the Fourth Proportional to 5,446, 8,169 and 1,342

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Solution

The fourth proportional to 5,446, 8,169 and 1,342 is: 2,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446 : 8,169 = 1,342 : x
  2. Step 2: Convert to fraction form
    5,446/8,169 = 1,342/x
  3. Step 3: Cross multiply
    5,446x = 8,169 × 1,342
  4. Step 4: Simplify right side
    5,446x = 10,962,798
  5. Step 5: Solve for x
    x = 10,962,798/5,446
  6. Step 6: Final answer
    x = 2,013

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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.