Home / 2,215.25-3,323.30-829.56

Finding the Fourth Proportional to 2,215.25, 3,323.30 and 829.56

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Solution

The fourth proportional to 2,215.25, 3,323.30 and 829.56 is: 1,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.25 : 3,323.30 = 829.56 : x
  2. Step 2: Convert to fraction form
    2,215.25/3,323.30 = 829.56/x
  3. Step 3: Cross multiply
    2,215.25x = 3,323.30 × 829.56
  4. Step 4: Simplify right side
    2,215.25x = 2,756,872.60
  5. Step 5: Solve for x
    x = 2,756,872.60/2,215.25
  6. Step 6: Final answer
    x = 1,244.50

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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.