Home / 2,128.85-3,193.68-829.61

Finding the Fourth Proportional to 2,128.85, 3,193.68 and 829.61

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Solution

The fourth proportional to 2,128.85, 3,193.68 and 829.61 is: 1,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.85 : 3,193.68 = 829.61 : x
  2. Step 2: Convert to fraction form
    2,128.85/3,193.68 = 829.61/x
  3. Step 3: Cross multiply
    2,128.85x = 3,193.68 × 829.61
  4. Step 4: Simplify right side
    2,128.85x = 2,649,508.86
  5. Step 5: Solve for x
    x = 2,649,508.86/2,128.85
  6. Step 6: Final answer
    x = 1,244.57

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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.