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Finding the Fourth Proportional to 2,786.46, 4,177.87 and 912.12

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Solution

The fourth proportional to 2,786.46, 4,177.87 and 912.12 is: 1,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.46 : 4,177.87 = 912.12 : x
  2. Step 2: Convert to fraction form
    2,786.46/4,177.87 = 912.12/x
  3. Step 3: Cross multiply
    2,786.46x = 4,177.87 × 912.12
  4. Step 4: Simplify right side
    2,786.46x = 3,810,718.78
  5. Step 5: Solve for x
    x = 3,810,718.78/2,786.46
  6. Step 6: Final answer
    x = 1,367.58

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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.