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Finding the Fourth Proportional to 2,155.94, 3,234.14 and 769.42

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Solution

The fourth proportional to 2,155.94, 3,234.14 and 769.42 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.94 : 3,234.14 = 769.42 : x
  2. Step 2: Convert to fraction form
    2,155.94/3,234.14 = 769.42/x
  3. Step 3: Cross multiply
    2,155.94x = 3,234.14 × 769.42
  4. Step 4: Simplify right side
    2,155.94x = 2,488,412.00
  5. Step 5: Solve for x
    x = 2,488,412.00/2,155.94
  6. Step 6: Final answer
    x = 1,154.21

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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.