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Finding the Fourth Proportional to 2,785.76, 4,179.20 and 1,964.32

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Solution

The fourth proportional to 2,785.76, 4,179.20 and 1,964.32 is: 2,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.76 : 4,179.20 = 1,964.32 : x
  2. Step 2: Convert to fraction form
    2,785.76/4,179.20 = 1,964.32/x
  3. Step 3: Cross multiply
    2,785.76x = 4,179.20 × 1,964.32
  4. Step 4: Simplify right side
    2,785.76x = 8,209,286.14
  5. Step 5: Solve for x
    x = 8,209,286.14/2,785.76
  6. Step 6: Final answer
    x = 2,946.87

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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.