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Finding the Fourth Proportional to 3,786.80, 5,223.81 and 2,461.22

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Solution

The fourth proportional to 3,786.80, 5,223.81 and 2,461.22 is: 3,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.80 : 5,223.81 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    3,786.80/5,223.81 = 2,461.22/x
  3. Step 3: Cross multiply
    3,786.80x = 5,223.81 × 2,461.22
  4. Step 4: Simplify right side
    3,786.80x = 12,856,945.65
  5. Step 5: Solve for x
    x = 12,856,945.65/3,786.80
  6. Step 6: Final answer
    x = 3,395.20

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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.