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Finding the Fourth Proportional to 3,646, 5,469 and 910

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Solution

The fourth proportional to 3,646, 5,469 and 910 is: 1,365

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 5,469 = 910 : x
  2. Step 2: Convert to fraction form
    3,646/5,469 = 910/x
  3. Step 3: Cross multiply
    3,646x = 5,469 × 910
  4. Step 4: Simplify right side
    3,646x = 4,976,790
  5. Step 5: Solve for x
    x = 4,976,790/3,646
  6. Step 6: Final answer
    x = 1,365

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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.