Home / 2,121.14-3,178.47-965.54

Finding the Fourth Proportional to 2,121.14, 3,178.47 and 965.54

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Solution

The fourth proportional to 2,121.14, 3,178.47 and 965.54 is: 1,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.14 : 3,178.47 = 965.54 : x
  2. Step 2: Convert to fraction form
    2,121.14/3,178.47 = 965.54/x
  3. Step 3: Cross multiply
    2,121.14x = 3,178.47 × 965.54
  4. Step 4: Simplify right side
    2,121.14x = 3,068,939.92
  5. Step 5: Solve for x
    x = 3,068,939.92/2,121.14
  6. Step 6: Final answer
    x = 1,446.84

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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.