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Finding the Fourth Proportional to 2,619.14, 3,928.30 and 769.91

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Solution

The fourth proportional to 2,619.14, 3,928.30 and 769.91 is: 1,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.14 : 3,928.30 = 769.91 : x
  2. Step 2: Convert to fraction form
    2,619.14/3,928.30 = 769.91/x
  3. Step 3: Cross multiply
    2,619.14x = 3,928.30 × 769.91
  4. Step 4: Simplify right side
    2,619.14x = 3,024,415.89
  5. Step 5: Solve for x
    x = 3,024,415.89/2,619.14
  6. Step 6: Final answer
    x = 1,154.74

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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.