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Finding the Fourth Proportional to 4,964, 6,850.32 and 2,756

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Solution

The fourth proportional to 4,964, 6,850.32 and 2,756 is: 3,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964 : 6,850.32 = 2,756 : x
  2. Step 2: Convert to fraction form
    4,964/6,850.32 = 2,756/x
  3. Step 3: Cross multiply
    4,964x = 6,850.32 × 2,756
  4. Step 4: Simplify right side
    4,964x = 18,879,481.92
  5. Step 5: Solve for x
    x = 18,879,481.92/4,964
  6. Step 6: Final answer
    x = 3,803.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.