Home / 7,122.24-9,827.82-3,978

Finding the Fourth Proportional to 7,122.24, 9,827.82 and 3,978

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Solution

The fourth proportional to 7,122.24, 9,827.82 and 3,978 is: 5,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.24 : 9,827.82 = 3,978 : x
  2. Step 2: Convert to fraction form
    7,122.24/9,827.82 = 3,978/x
  3. Step 3: Cross multiply
    7,122.24x = 9,827.82 × 3,978
  4. Step 4: Simplify right side
    7,122.24x = 39,095,067.96
  5. Step 5: Solve for x
    x = 39,095,067.96/7,122.24
  6. Step 6: Final answer
    x = 5,489.15

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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.