Home / 2,129.34-3,192.75-829.29

Finding the Fourth Proportional to 2,129.34, 3,192.75 and 829.29

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Solution

The fourth proportional to 2,129.34, 3,192.75 and 829.29 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.34 : 3,192.75 = 829.29 : x
  2. Step 2: Convert to fraction form
    2,129.34/3,192.75 = 829.29/x
  3. Step 3: Cross multiply
    2,129.34x = 3,192.75 × 829.29
  4. Step 4: Simplify right side
    2,129.34x = 2,647,715.65
  5. Step 5: Solve for x
    x = 2,647,715.65/2,129.34
  6. Step 6: Final answer
    x = 1,243.44

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1.5x scale

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.