Home / 2,124.07-3,185.49-825.23

Finding the Fourth Proportional to 2,124.07, 3,185.49 and 825.23

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Solution

The fourth proportional to 2,124.07, 3,185.49 and 825.23 is: 1,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.07 : 3,185.49 = 825.23 : x
  2. Step 2: Convert to fraction form
    2,124.07/3,185.49 = 825.23/x
  3. Step 3: Cross multiply
    2,124.07x = 3,185.49 × 825.23
  4. Step 4: Simplify right side
    2,124.07x = 2,628,761.91
  5. Step 5: Solve for x
    x = 2,628,761.91/2,124.07
  6. Step 6: Final answer
    x = 1,237.61

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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.