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Finding the Fourth Proportional to 2,849.19, 4,273.63 and 769.17

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Solution

The fourth proportional to 2,849.19, 4,273.63 and 769.17 is: 1,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.19 : 4,273.63 = 769.17 : x
  2. Step 2: Convert to fraction form
    2,849.19/4,273.63 = 769.17/x
  3. Step 3: Cross multiply
    2,849.19x = 4,273.63 × 769.17
  4. Step 4: Simplify right side
    2,849.19x = 3,287,126.62
  5. Step 5: Solve for x
    x = 3,287,126.62/2,849.19
  6. Step 6: Final answer
    x = 1,153.71

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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.