Home / 2,215.56-3,323.40-829.24

Finding the Fourth Proportional to 2,215.56, 3,323.40 and 829.24

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Solution

The fourth proportional to 2,215.56, 3,323.40 and 829.24 is: 1,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.56 : 3,323.40 = 829.24 : x
  2. Step 2: Convert to fraction form
    2,215.56/3,323.40 = 829.24/x
  3. Step 3: Cross multiply
    2,215.56x = 3,323.40 × 829.24
  4. Step 4: Simplify right side
    2,215.56x = 2,755,896.22
  5. Step 5: Solve for x
    x = 2,755,896.22/2,215.56
  6. Step 6: Final answer
    x = 1,243.88

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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.