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Finding the Fourth Proportional to 2,794.98, 4,191.45 and 820.11

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Solution

The fourth proportional to 2,794.98, 4,191.45 and 820.11 is: 1,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.98 : 4,191.45 = 820.11 : x
  2. Step 2: Convert to fraction form
    2,794.98/4,191.45 = 820.11/x
  3. Step 3: Cross multiply
    2,794.98x = 4,191.45 × 820.11
  4. Step 4: Simplify right side
    2,794.98x = 3,437,450.06
  5. Step 5: Solve for x
    x = 3,437,450.06/2,794.98
  6. Step 6: Final answer
    x = 1,229.87

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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.