Home / 2,135.41-3,203.43-674.23

Finding the Fourth Proportional to 2,135.41, 3,203.43 and 674.23

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Solution

The fourth proportional to 2,135.41, 3,203.43 and 674.23 is: 1,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.41 : 3,203.43 = 674.23 : x
  2. Step 2: Convert to fraction form
    2,135.41/3,203.43 = 674.23/x
  3. Step 3: Cross multiply
    2,135.41x = 3,203.43 × 674.23
  4. Step 4: Simplify right side
    2,135.41x = 2,159,848.61
  5. Step 5: Solve for x
    x = 2,159,848.61/2,135.41
  6. Step 6: Final answer
    x = 1,011.44

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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.