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Finding the Fourth Proportional to 3,617.80, 4,992.42 and 2,046.22

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Solution

The fourth proportional to 3,617.80, 4,992.42 and 2,046.22 is: 2,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.80 : 4,992.42 = 2,046.22 : x
  2. Step 2: Convert to fraction form
    3,617.80/4,992.42 = 2,046.22/x
  3. Step 3: Cross multiply
    3,617.80x = 4,992.42 × 2,046.22
  4. Step 4: Simplify right side
    3,617.80x = 10,215,589.65
  5. Step 5: Solve for x
    x = 10,215,589.65/3,617.80
  6. Step 6: Final answer
    x = 2,823.70

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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.