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Finding the Fourth Proportional to 2,794.28, 4,191.42 and 969

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Solution

The fourth proportional to 2,794.28, 4,191.42 and 969 is: 1,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.28 : 4,191.42 = 969 : x
  2. Step 2: Convert to fraction form
    2,794.28/4,191.42 = 969/x
  3. Step 3: Cross multiply
    2,794.28x = 4,191.42 × 969
  4. Step 4: Simplify right side
    2,794.28x = 4,061,485.98
  5. Step 5: Solve for x
    x = 4,061,485.98/2,794.28
  6. Step 6: Final answer
    x = 1,453.50

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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.