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Finding the Fourth Proportional to 2,841.72, 3,919.23 and 2,251.32

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Solution

The fourth proportional to 2,841.72, 3,919.23 and 2,251.32 is: 3,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.72 : 3,919.23 = 2,251.32 : x
  2. Step 2: Convert to fraction form
    2,841.72/3,919.23 = 2,251.32/x
  3. Step 3: Cross multiply
    2,841.72x = 3,919.23 × 2,251.32
  4. Step 4: Simplify right side
    2,841.72x = 8,823,440.88
  5. Step 5: Solve for x
    x = 8,823,440.88/2,841.72
  6. Step 6: Final answer
    x = 3,104.96

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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.