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Finding the Fourth Proportional to 2,849.69, 4,274.38 and 769.67

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Solution

The fourth proportional to 2,849.69, 4,274.38 and 769.67 is: 1,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.69 : 4,274.38 = 769.67 : x
  2. Step 2: Convert to fraction form
    2,849.69/4,274.38 = 769.67/x
  3. Step 3: Cross multiply
    2,849.69x = 4,274.38 × 769.67
  4. Step 4: Simplify right side
    2,849.69x = 3,289,840.68
  5. Step 5: Solve for x
    x = 3,289,840.68/2,849.69
  6. Step 6: Final answer
    x = 1,154.46

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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.