Home / 2,128.51-3,190.87-829.67

Finding the Fourth Proportional to 2,128.51, 3,190.87 and 829.67

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Solution

The fourth proportional to 2,128.51, 3,190.87 and 829.67 is: 1,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.51 : 3,190.87 = 829.67 : x
  2. Step 2: Convert to fraction form
    2,128.51/3,190.87 = 829.67/x
  3. Step 3: Cross multiply
    2,128.51x = 3,190.87 × 829.67
  4. Step 4: Simplify right side
    2,128.51x = 2,647,364.96
  5. Step 5: Solve for x
    x = 2,647,364.96/2,128.51
  6. Step 6: Final answer
    x = 1,243.77

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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.