Home / 2,290.32-3,433.43-829.14

Finding the Fourth Proportional to 2,290.32, 3,433.43 and 829.14

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Solution

The fourth proportional to 2,290.32, 3,433.43 and 829.14 is: 1,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.32 : 3,433.43 = 829.14 : x
  2. Step 2: Convert to fraction form
    2,290.32/3,433.43 = 829.14/x
  3. Step 3: Cross multiply
    2,290.32x = 3,433.43 × 829.14
  4. Step 4: Simplify right side
    2,290.32x = 2,846,790.00
  5. Step 5: Solve for x
    x = 2,846,790.00/2,290.32
  6. Step 6: Final answer
    x = 1,242.97

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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.