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Finding the Fourth Proportional to 6,814, 10,221.04 and 2,712.88

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Solution

The fourth proportional to 6,814, 10,221.04 and 2,712.88 is: 4,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814 : 10,221.04 = 2,712.88 : x
  2. Step 2: Convert to fraction form
    6,814/10,221.04 = 2,712.88/x
  3. Step 3: Cross multiply
    6,814x = 10,221.04 × 2,712.88
  4. Step 4: Simplify right side
    6,814x = 27,728,455.00
  5. Step 5: Solve for x
    x = 27,728,455.00/6,814
  6. Step 6: Final answer
    x = 4,069.34

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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.