Home / 2,123.49-3,185.97-825.87

Finding the Fourth Proportional to 2,123.49, 3,185.97 and 825.87

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Solution

The fourth proportional to 2,123.49, 3,185.97 and 825.87 is: 1,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.49 : 3,185.97 = 825.87 : x
  2. Step 2: Convert to fraction form
    2,123.49/3,185.97 = 825.87/x
  3. Step 3: Cross multiply
    2,123.49x = 3,185.97 × 825.87
  4. Step 4: Simplify right side
    2,123.49x = 2,631,197.04
  5. Step 5: Solve for x
    x = 2,631,197.04/2,123.49
  6. Step 6: Final answer
    x = 1,239.09

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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.