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Finding the Fourth Proportional to 2,618.84, 3,928.26 and 769.97

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Solution

The fourth proportional to 2,618.84, 3,928.26 and 769.97 is: 1,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.84 : 3,928.26 = 769.97 : x
  2. Step 2: Convert to fraction form
    2,618.84/3,928.26 = 769.97/x
  3. Step 3: Cross multiply
    2,618.84x = 3,928.26 × 769.97
  4. Step 4: Simplify right side
    2,618.84x = 3,024,647.74
  5. Step 5: Solve for x
    x = 3,024,647.74/2,618.84
  6. Step 6: Final answer
    x = 1,154.96

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1.5x scale

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.