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Finding the Fourth Proportional to 5,249.66, 7,867.80 and 2,785.64

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Solution

The fourth proportional to 5,249.66, 7,867.80 and 2,785.64 is: 4,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.66 : 7,867.80 = 2,785.64 : x
  2. Step 2: Convert to fraction form
    5,249.66/7,867.80 = 2,785.64/x
  3. Step 3: Cross multiply
    5,249.66x = 7,867.80 × 2,785.64
  4. Step 4: Simplify right side
    5,249.66x = 21,916,819.05
  5. Step 5: Solve for x
    x = 21,916,819.05/5,249.66
  6. Step 6: Final answer
    x = 4,174.91

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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.