Home / 2,128.10-3,193.08-829.12

Finding the Fourth Proportional to 2,128.10, 3,193.08 and 829.12

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Solution

The fourth proportional to 2,128.10, 3,193.08 and 829.12 is: 1,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.10 : 3,193.08 = 829.12 : x
  2. Step 2: Convert to fraction form
    2,128.10/3,193.08 = 829.12/x
  3. Step 3: Cross multiply
    2,128.10x = 3,193.08 × 829.12
  4. Step 4: Simplify right side
    2,128.10x = 2,647,446.49
  5. Step 5: Solve for x
    x = 2,647,446.49/2,128.10
  6. Step 6: Final answer
    x = 1,244.04

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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.