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Finding the Fourth Proportional to 2,819.68, 4,223.68 and 2,785.12

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Solution

The fourth proportional to 2,819.68, 4,223.68 and 2,785.12 is: 4,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.68 : 4,223.68 = 2,785.12 : x
  2. Step 2: Convert to fraction form
    2,819.68/4,223.68 = 2,785.12/x
  3. Step 3: Cross multiply
    2,819.68x = 4,223.68 × 2,785.12
  4. Step 4: Simplify right side
    2,819.68x = 11,763,455.64
  5. Step 5: Solve for x
    x = 11,763,455.64/2,819.68
  6. Step 6: Final answer
    x = 4,171.91

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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.