Home / 2,128.13-3,190.31-829.30

Finding the Fourth Proportional to 2,128.13, 3,190.31 and 829.30

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Solution

The fourth proportional to 2,128.13, 3,190.31 and 829.30 is: 1,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.13 : 3,190.31 = 829.30 : x
  2. Step 2: Convert to fraction form
    2,128.13/3,190.31 = 829.30/x
  3. Step 3: Cross multiply
    2,128.13x = 3,190.31 × 829.30
  4. Step 4: Simplify right side
    2,128.13x = 2,645,703.98
  5. Step 5: Solve for x
    x = 2,645,703.98/2,128.13
  6. Step 6: Final answer
    x = 1,243.21

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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.