Home / 2,128.32-3,193.92-829.62

Finding the Fourth Proportional to 2,128.32, 3,193.92 and 829.62

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Solution

The fourth proportional to 2,128.32, 3,193.92 and 829.62 is: 1,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.32 : 3,193.92 = 829.62 : x
  2. Step 2: Convert to fraction form
    2,128.32/3,193.92 = 829.62/x
  3. Step 3: Cross multiply
    2,128.32x = 3,193.92 × 829.62
  4. Step 4: Simplify right side
    2,128.32x = 2,649,739.91
  5. Step 5: Solve for x
    x = 2,649,739.91/2,128.32
  6. Step 6: Final answer
    x = 1,244.99

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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.