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Finding the Fourth Proportional to 2,690, 4,035 and 866

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Solution

The fourth proportional to 2,690, 4,035 and 866 is: 1,299

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690 : 4,035 = 866 : x
  2. Step 2: Convert to fraction form
    2,690/4,035 = 866/x
  3. Step 3: Cross multiply
    2,690x = 4,035 × 866
  4. Step 4: Simplify right side
    2,690x = 3,494,310
  5. Step 5: Solve for x
    x = 3,494,310/2,690
  6. Step 6: Final answer
    x = 1,299

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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.