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Finding the Fourth Proportional to 5,216.69, 7,198.99 and 2,978.44

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Solution

The fourth proportional to 5,216.69, 7,198.99 and 2,978.44 is: 4,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.69 : 7,198.99 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    5,216.69/7,198.99 = 2,978.44/x
  3. Step 3: Cross multiply
    5,216.69x = 7,198.99 × 2,978.44
  4. Step 4: Simplify right side
    5,216.69x = 21,441,751.09
  5. Step 5: Solve for x
    x = 21,441,751.09/5,216.69
  6. Step 6: Final answer
    x = 4,110.22

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1.5x scale

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.