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Finding the Fourth Proportional to 2,797.92, 4,174.20 and 2,546.40

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Solution

The fourth proportional to 2,797.92, 4,174.20 and 2,546.40 is: 3,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.92 : 4,174.20 = 2,546.40 : x
  2. Step 2: Convert to fraction form
    2,797.92/4,174.20 = 2,546.40/x
  3. Step 3: Cross multiply
    2,797.92x = 4,174.20 × 2,546.40
  4. Step 4: Simplify right side
    2,797.92x = 10,629,182.88
  5. Step 5: Solve for x
    x = 10,629,182.88/2,797.92
  6. Step 6: Final answer
    x = 3,798.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.