Home / 2,124.11-3,186.71-825.14

Finding the Fourth Proportional to 2,124.11, 3,186.71 and 825.14

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Solution

The fourth proportional to 2,124.11, 3,186.71 and 825.14 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.11 : 3,186.71 = 825.14 : x
  2. Step 2: Convert to fraction form
    2,124.11/3,186.71 = 825.14/x
  3. Step 3: Cross multiply
    2,124.11x = 3,186.71 × 825.14
  4. Step 4: Simplify right side
    2,124.11x = 2,629,481.89
  5. Step 5: Solve for x
    x = 2,629,481.89/2,124.11
  6. Step 6: Final answer
    x = 1,237.92

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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.