Home / 2,129.40-3,190.26-830.04

Finding the Fourth Proportional to 2,129.40, 3,190.26 and 830.04

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Solution

The fourth proportional to 2,129.40, 3,190.26 and 830.04 is: 1,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 3,190.26 = 830.04 : x
  2. Step 2: Convert to fraction form
    2,129.40/3,190.26 = 830.04/x
  3. Step 3: Cross multiply
    2,129.40x = 3,190.26 × 830.04
  4. Step 4: Simplify right side
    2,129.40x = 2,648,043.41
  5. Step 5: Solve for x
    x = 2,648,043.41/2,129.40
  6. Step 6: Final answer
    x = 1,243.56

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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.