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Finding the Fourth Proportional to 3,278.89, 4,524.89 and 1,952.65

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Solution

The fourth proportional to 3,278.89, 4,524.89 and 1,952.65 is: 2,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.89 : 4,524.89 = 1,952.65 : x
  2. Step 2: Convert to fraction form
    3,278.89/4,524.89 = 1,952.65/x
  3. Step 3: Cross multiply
    3,278.89x = 4,524.89 × 1,952.65
  4. Step 4: Simplify right side
    3,278.89x = 8,835,505.38
  5. Step 5: Solve for x
    x = 8,835,505.38/3,278.89
  6. Step 6: Final answer
    x = 2,694.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.