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Finding the Fourth Proportional to 2,618.65, 3,928.62 and 769.84

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Solution

The fourth proportional to 2,618.65, 3,928.62 and 769.84 is: 1,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.65 : 3,928.62 = 769.84 : x
  2. Step 2: Convert to fraction form
    2,618.65/3,928.62 = 769.84/x
  3. Step 3: Cross multiply
    2,618.65x = 3,928.62 × 769.84
  4. Step 4: Simplify right side
    2,618.65x = 3,024,408.82
  5. Step 5: Solve for x
    x = 3,024,408.82/2,618.65
  6. Step 6: Final answer
    x = 1,154.95

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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.