Home / 7,984.90-11,987.96-6,822.38

Finding the Fourth Proportional to 7,984.90, 11,987.96 and 6,822.38

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Solution

The fourth proportional to 7,984.90, 11,987.96 and 6,822.38 is: 10,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.90 : 11,987.96 = 6,822.38 : x
  2. Step 2: Convert to fraction form
    7,984.90/11,987.96 = 6,822.38/x
  3. Step 3: Cross multiply
    7,984.90x = 11,987.96 × 6,822.38
  4. Step 4: Simplify right side
    7,984.90x = 81,786,418.54
  5. Step 5: Solve for x
    x = 81,786,418.54/7,984.90
  6. Step 6: Final answer
    x = 10,242.64

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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.