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Finding the Fourth Proportional to 2,618, 3,926.71 and 769.13

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Solution

The fourth proportional to 2,618, 3,926.71 and 769.13 is: 1,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618 : 3,926.71 = 769.13 : x
  2. Step 2: Convert to fraction form
    2,618/3,926.71 = 769.13/x
  3. Step 3: Cross multiply
    2,618x = 3,926.71 × 769.13
  4. Step 4: Simplify right side
    2,618x = 3,020,150.46
  5. Step 5: Solve for x
    x = 3,020,150.46/2,618
  6. Step 6: Final answer
    x = 1,153.61

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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.