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Finding the Fourth Proportional to 2,785.80, 4,178.91 and 936.91

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Solution

The fourth proportional to 2,785.80, 4,178.91 and 936.91 is: 1,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.80 : 4,178.91 = 936.91 : x
  2. Step 2: Convert to fraction form
    2,785.80/4,178.91 = 936.91/x
  3. Step 3: Cross multiply
    2,785.80x = 4,178.91 × 936.91
  4. Step 4: Simplify right side
    2,785.80x = 3,915,262.57
  5. Step 5: Solve for x
    x = 3,915,262.57/2,785.80
  6. Step 6: Final answer
    x = 1,405.43

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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.