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Finding the Fourth Proportional to 5,171.64, 7,745.14 and 2,828.14

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Solution

The fourth proportional to 5,171.64, 7,745.14 and 2,828.14 is: 4,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.64 : 7,745.14 = 2,828.14 : x
  2. Step 2: Convert to fraction form
    5,171.64/7,745.14 = 2,828.14/x
  3. Step 3: Cross multiply
    5,171.64x = 7,745.14 × 2,828.14
  4. Step 4: Simplify right side
    5,171.64x = 21,904,340.24
  5. Step 5: Solve for x
    x = 21,904,340.24/5,171.64
  6. Step 6: Final answer
    x = 4,235.47

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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.