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Finding the Fourth Proportional to 2,510, 3,765 and 686

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Solution

The fourth proportional to 2,510, 3,765 and 686 is: 1,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510 : 3,765 = 686 : x
  2. Step 2: Convert to fraction form
    2,510/3,765 = 686/x
  3. Step 3: Cross multiply
    2,510x = 3,765 × 686
  4. Step 4: Simplify right side
    2,510x = 2,582,790
  5. Step 5: Solve for x
    x = 2,582,790/2,510
  6. Step 6: Final answer
    x = 1,029

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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.