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Finding the Fourth Proportional to 2,774.44, 4,142.21 and 2,288.44

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Solution

The fourth proportional to 2,774.44, 4,142.21 and 2,288.44 is: 3,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.44 : 4,142.21 = 2,288.44 : x
  2. Step 2: Convert to fraction form
    2,774.44/4,142.21 = 2,288.44/x
  3. Step 3: Cross multiply
    2,774.44x = 4,142.21 × 2,288.44
  4. Step 4: Simplify right side
    2,774.44x = 9,479,199.05
  5. Step 5: Solve for x
    x = 9,479,199.05/2,774.44
  6. Step 6: Final answer
    x = 3,416.62

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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.