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Finding the Fourth Proportional to 5,350, 7,383 and 3,487

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Solution

The fourth proportional to 5,350, 7,383 and 3,487 is: 4,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 7,383 = 3,487 : x
  2. Step 2: Convert to fraction form
    5,350/7,383 = 3,487/x
  3. Step 3: Cross multiply
    5,350x = 7,383 × 3,487
  4. Step 4: Simplify right side
    5,350x = 25,744,521
  5. Step 5: Solve for x
    x = 25,744,521/5,350
  6. Step 6: Final answer
    x = 4,812.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.