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Finding the Fourth Proportional to 3,998.72, 5,517.88 and 2,297.24

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Solution

The fourth proportional to 3,998.72, 5,517.88 and 2,297.24 is: 3,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.72 : 5,517.88 = 2,297.24 : x
  2. Step 2: Convert to fraction form
    3,998.72/5,517.88 = 2,297.24/x
  3. Step 3: Cross multiply
    3,998.72x = 5,517.88 × 2,297.24
  4. Step 4: Simplify right side
    3,998.72x = 12,675,894.65
  5. Step 5: Solve for x
    x = 12,675,894.65/3,998.72
  6. Step 6: Final answer
    x = 3,169.99

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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.