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Finding the Fourth Proportional to 2,797.86, 3,861.84 and 2,242.20

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Solution

The fourth proportional to 2,797.86, 3,861.84 and 2,242.20 is: 3,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.86 : 3,861.84 = 2,242.20 : x
  2. Step 2: Convert to fraction form
    2,797.86/3,861.84 = 2,242.20/x
  3. Step 3: Cross multiply
    2,797.86x = 3,861.84 × 2,242.20
  4. Step 4: Simplify right side
    2,797.86x = 8,659,017.65
  5. Step 5: Solve for x
    x = 8,659,017.65/2,797.86
  6. Step 6: Final answer
    x = 3,094.87

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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.