Home / 2,128.23-3,192.36-742.56

Finding the Fourth Proportional to 2,128.23, 3,192.36 and 742.56

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Solution

The fourth proportional to 2,128.23, 3,192.36 and 742.56 is: 1,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.23 : 3,192.36 = 742.56 : x
  2. Step 2: Convert to fraction form
    2,128.23/3,192.36 = 742.56/x
  3. Step 3: Cross multiply
    2,128.23x = 3,192.36 × 742.56
  4. Step 4: Simplify right side
    2,128.23x = 2,370,502.88
  5. Step 5: Solve for x
    x = 2,370,502.88/2,128.23
  6. Step 6: Final answer
    x = 1,113.84

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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.