Home / 2,072.24-3,107.29-611.20

Finding the Fourth Proportional to 2,072.24, 3,107.29 and 611.20

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Solution

The fourth proportional to 2,072.24, 3,107.29 and 611.20 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.24 : 3,107.29 = 611.20 : x
  2. Step 2: Convert to fraction form
    2,072.24/3,107.29 = 611.20/x
  3. Step 3: Cross multiply
    2,072.24x = 3,107.29 × 611.20
  4. Step 4: Simplify right side
    2,072.24x = 1,899,175.65
  5. Step 5: Solve for x
    x = 1,899,175.65/2,072.24
  6. Step 6: Final answer
    x = 916.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.